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105480097128 = 23337128954121
BaseRepresentation
bin110001000111100011…
…0101000110101101000
3101002021002102010021000
41202033012220311220
53212010401102003
6120242404315000
710422616014030
oct1421706506550
9332232363230
10105480097128
114080884619a
12185390a2a60
139c3cc75273
145168bb68c0
152b253c71a3
hex188f1a8d68

105480097128 has 128 divisors (see below), whose sum is σ = 335123424000. Its totient is φ = 30113233920.

The previous prime is 105480097103. The next prime is 105480097153. The reversal of 105480097128 is 821790084501.

105480097128 is a `hidden beast` number, since 1 + 0 + 548 + 0 + 0 + 97 + 12 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (105480097103) and next prime (105480097153).

It is a super-2 number, since 2×1054800971282 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1921908 + ... + 1976028.

It is an arithmetic number, because the mean of its divisors is an integer number (2618151750).

Almost surely, 2105480097128 is an apocalyptic number.

105480097128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105480097128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167561712000).

105480097128 is an abundant number, since it is smaller than the sum of its proper divisors (229643326872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105480097128 is a wasteful number, since it uses less digits than its factorization.

105480097128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55432 (or 55422 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 105480097128 in words is "one hundred five billion, four hundred eighty million, ninety-seven thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1289 1512 2578 3867 5156 7734 9023 10312 11601 15468 18046 23202 27069 30936 34803 36092 46404 54121 54138 69606 72184 81207 92808 108242 108276 139212 162363 162414 216484 216552 243621 278424 324726 324828 378847 432968 487089 487242 649452 649656 757694 974178 974484 1136541 1298904 1461267 1515388 1948356 1948968 2273082 2922534 3030776 3409623 3896712 4546164 5845068 6819246 9092328 10228869 11690136 13638492 20457738 27276984 40915476 69761969 81830952 139523938 209285907 279047876 418571814 488333783 558095752 627857721 837143628 976667566 1255715442 1465001349 1674287256 1883573163 1953335132 2511430884 2930002698 3767146326 3906670264 4395004047 5022861768 5860005396 7534292652 8790008094 11720010792 13185012141 15068585304 17580016188 26370024282 35160032376 52740048564 105480097128