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108051120 = 243253147103
BaseRepresentation
bin1100111000010…
…11101010110000
321112022120021100
412130023222300
5210130113440
614415524400
72451263562
oct634135260
9245276240
10108051120
1155aa0451
1230229700
1319502298
14104c9332
159745230
hex670bab0

108051120 has 240 divisors, whose sum is σ = 386260992. Its totient is φ = 27025920.

The previous prime is 108051109. The next prime is 108051127. The reversal of 108051120 is 21150801.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 108051093 and 108051102.

It is not an unprimeable number, because it can be changed into a prime (108051127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048989 + ... + 1049091.

Almost surely, 2108051120 is an apocalyptic number.

108051120 is a gapful number since it is divisible by the number (10) 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 108051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193130496).

108051120 is an abundant number, since it is smaller than the sum of its proper divisors (278209872).

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

108051120 is a wasteful number, since it uses less digits than its factorization.

108051120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 108051120 is about 10394.7640665866. The cubic root of 108051120 is about 476.2954407218.

The spelling of 108051120 in words is "one hundred eight million, fifty-one thousand, one hundred twenty".