105643764100 has 72 divisors (see below), whose sum is σ = 262039478400. Its totient is φ = 36214782720.

The previous prime is 105643764091. The next prime is 105643764113. The reversal of 105643764100 is 1467346501.

It is a super-2 number, since 2×105643764100² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105643764100.

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, 7649001 + ... + 7662799.

It is an arithmetic number, because the mean of its divisors is an integer number (3639437200).

Almost surely, 2^105643764100 is an apocalyptic number.

105643764100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105643764100 is an abundant number, since it is smaller than the sum of its proper divisors (156395714300).

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

105643764100 is a wasteful number, since it uses less digits than its factorization.

105643764100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24757 (or 24750 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 105643764100 in words is "one hundred five billion, six hundred forty-three million, seven hundred sixty-four thousand, one hundred".