105855531010500 has 192 divisors, whose sum is σ = 322722608382720. Its totient is φ = 26926385920000.

The previous prime is 105855531010499. The next prime is 105855531010589. The reversal of 105855531010500 is 5010135558501.

105855531010500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105855531010500² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11048901 + ... + 18269900.

It is an arithmetic number, because the mean of its divisors is an integer number (1680846918660).

Almost surely, 2^{105855531010500} is an apocalyptic number.

105855531010500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105855531010500 is an abundant number, since it is smaller than the sum of its proper divisors (216867077372220).

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

105855531010500 is a wasteful number, since it uses less digits than its factorization.

105855531010500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29318935 (or 29318923 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 39.

The spelling of 105855531010500 in words is "one hundred five trillion, eight hundred fifty-five billion, five hundred thirty-one million, ten thousand, five hundred".