Search a number
-
+
105010108504 = 23719191516721
BaseRepresentation
bin110000111001100010…
…1110001100001011000
3101001001100001020001221
41201303011301201120
53210030041433004
6120124015021424
710405151123560
oct1416305614130
9331040036057
10105010108504
1140597517844
121842780a874
139b9679a3a2
1451225d3da0
152ae8edb354
hex1873171858

105010108504 has 64 divisors (see below), whose sum is σ = 238105497600. Its totient is φ = 42412377600.

The previous prime is 105010108499. The next prime is 105010108537. The reversal of 105010108504 is 405801010501.

It is a happy number.

It is a super-2 number, since 2×1050101085042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55137 + ... + 461584.

It is an arithmetic number, because the mean of its divisors is an integer number (3720398400).

Almost surely, 2105010108504 is an apocalyptic number.

105010108504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105010108504 is an abundant number, since it is smaller than the sum of its proper divisors (133095389096).

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

105010108504 is a wasteful number, since it uses less digits than its factorization.

105010108504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516944 (or 516940 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The spelling of 105010108504 in words is "one hundred five billion, ten million, one hundred eight thousand, five hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 191 266 382 532 764 1064 1337 1528 2674 3629 5348 7258 10696 14516 25403 29032 50806 101612 203224 516721 1033442 2066884 3617047 4133768 7234094 9817699 14468188 19635398 28936376 39270796 68723893 78541592 98693711 137447786 197387422 274895572 394774844 549791144 690855977 789549688 1381711954 1875180509 2763423908 3750361018 5526847816 7500722036 13126263563 15001444072 26252527126 52505054252 105010108504