105265495200 has 72 divisors (see below), whose sum is σ = 342639194688. Its totient is φ = 28070798080.

The previous prime is 105265495187. The next prime is 105265495211. The reversal of 105265495200 is 2594562501.

It is a super-2 number, since 2×105265495200² (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 11 ways as a sum of consecutive naturals, for example, 21927912 + ... + 21932711.

It is an arithmetic number, because the mean of its divisors is an integer number (4758877704).

Almost surely, 2^105265495200 is an apocalyptic number.

105265495200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105265495200 is an abundant number, since it is smaller than the sum of its proper divisors (237373699488).

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

105265495200 is a wasteful number, since it uses less digits than its factorization.

105265495200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43860646 (or 43860633 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 105265495200 in words is "one hundred five billion, two hundred sixty-five million, four hundred ninety-five thousand, two hundred".