105050555555600 has 60 divisors (see below), whose sum is σ = 252387095787264. Its totient is φ = 42019700088960.

The previous prime is 105050555555579. The next prime is 105050555555609. The reversal of 105050555555600 is 6555555050501.

It is a super-2 number, since 2×105050555555600² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105050555555609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31436417 + ... + 34617183.

Almost surely, 2^{105050555555600} is an apocalyptic number.

105050555555600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105050555555600 is an abundant number, since it is smaller than the sum of its proper divisors (147336540231664).

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

105050555555600 is a wasteful number, since it uses less digits than its factorization.

105050555555600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263352 (or 3263341 counting only the distinct ones).

The product of its (nonzero) digits is 2343750, while the sum is 47.

The spelling of 105050555555600 in words is "one hundred five trillion, fifty billion, five hundred fifty-five million, five hundred fifty-five thousand, six hundred".