2105362432200 has 96 divisors (see below), whose sum is σ = 6536070012960. Its totient is φ = 560617382400.

The previous prime is 2105362432193. The next prime is 2105362432223. The reversal of 2105362432200 is 22342635012.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2124429 + ... + 2953628.

It is an arithmetic number, because the mean of its divisors is an integer number (68084062635).

Almost surely, 2^{2105362432200} is an apocalyptic number.

2105362432200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2105362432200 is an abundant number, since it is smaller than the sum of its proper divisors (4430707580760).

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

2105362432200 is a wasteful number, since it uses less digits than its factorization.

2105362432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078767 (or 5078758 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 2105362432200 in words is "two trillion, one hundred five billion, three hundred sixty-two million, four hundred thirty-two thousand, two hundred".