105105556100 has 36 divisors (see below), whose sum is σ = 232382446884. Its totient is φ = 41248970880.

The previous prime is 105105556097. The next prime is 105105556151. The reversal of 105105556100 is 1655501501.

It is a happy number.

105105556100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10502560324 + 94602995776 = 102482^2 + 307576^2 .

It is a super-2 number, since 2×105105556100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9910319 + ... + 9920918.

It is an arithmetic number, because the mean of its divisors is an integer number (6455067969).

Almost surely, 2^105105556100 is an apocalyptic number.

105105556100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105556100 is an abundant number, since it is smaller than the sum of its proper divisors (127276890784).

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

105105556100 is a wasteful number, since it uses less digits than its factorization.

105105556100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19831304 (or 19831297 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105105556100 in words is "one hundred five billion, one hundred five million, five hundred fifty-six thousand, one hundred".