105550000151112 has 256 divisors, whose sum is σ = 347543350272000. Its totient is φ = 29323969401600.

The previous prime is 105550000151047. The next prime is 105550000151153. The reversal of 105550000151112 is 211151000055501.

It is a happy number.

105550000151112 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 500 + 0 + 0 + 151 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×105550000151112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36311403 + ... + 39110330.

It is an arithmetic number, because the mean of its divisors is an integer number (1357591212000).

Almost surely, 2^{105550000151112} is an apocalyptic number.

105550000151112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105550000151112 is an abundant number, since it is smaller than the sum of its proper divisors (241993350120888).

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

105550000151112 is a wasteful number, since it uses less digits than its factorization.

105550000151112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75421809 (or 75421799 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 27.

The spelling of 105550000151112 in words is "one hundred five trillion, five hundred fifty billion, one hundred fifty-one thousand, one hundred twelve".