105542169700 has 72 divisors (see below), whose sum is σ = 249900567840. Its totient is φ = 38370758400.

The previous prime is 105542169659. The next prime is 105542169721. The reversal of 105542169700 is 7961245501.

It is a super-2 number, since 2×105542169700² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7905631 + ... + 7918969.

It is an arithmetic number, because the mean of its divisors is an integer number (3470841220).

Almost surely, 2^105542169700 is an apocalyptic number.

105542169700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105542169700 is an abundant number, since it is smaller than the sum of its proper divisors (144358398140).

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

105542169700 is a wasteful number, since it uses less digits than its factorization.

105542169700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20557 (or 20550 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 105542169700 in words is "one hundred five billion, five hundred forty-two million, one hundred sixty-nine thousand, seven hundred".