105506556600 has 48 divisors (see below), whose sum is σ = 327070327320. Its totient is φ = 28135081600.

The previous prime is 105506556581. The next prime is 105506556637. The reversal of 105506556600 is 6655605501.

It is a super-2 number, since 2×105506556600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 87921531 + ... + 87922730.

Almost surely, 2^105506556600 is an apocalyptic number.

105506556600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105506556600 is an abundant number, since it is smaller than the sum of its proper divisors (221563770720).

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

105506556600 is a wasteful number, since it uses less digits than its factorization.

105506556600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175844280 (or 175844271 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 105506556600 in words is "one hundred five billion, five hundred six million, five hundred fifty-six thousand, six hundred".