105505105600 has 42 divisors (see below), whose sum is σ = 259608504404. Its totient is φ = 42202041600.

The previous prime is 105505105591. The next prime is 105505105621. The reversal of 105505105600 is 6501505501.

It is a super-2 number, since 2×105505105600² (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 5 ways as a sum of consecutive naturals, for example, 32968746 + ... + 32971945.

Almost surely, 2^105505105600 is an apocalyptic number.

105505105600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505105600 is an abundant number, since it is smaller than the sum of its proper divisors (154103398804).

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

105505105600 is an equidigital number, since it uses as much as digits as its factorization.

105505105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65940713 (or 65940698 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 105505105600 in words is "one hundred five billion, five hundred five million, one hundred five thousand, six hundred".