100430680464 has 75 divisors (see below), whose sum is σ = 290708550363. Its totient is φ = 33473090592.

The previous prime is 100430680451. The next prime is 100430680487. The reversal of 100430680464 is 464086034001.

The square root of 100430680464 is 316908.

It is a perfect power (a square), and thus also a powerful number.

100430680464 is a `hidden beast` number, since 100 + 4 + 30 + 68 + 0 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11404287 + ... + 11413089.

Almost surely, 2^100430680464 is an apocalyptic number.

100430680464 is the 316908-th square number.

It is an amenable number.

100430680464 is an abundant number, since it is smaller than the sum of its proper divisors (190277869899).

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

100430680464 is an frugal number, since it uses more digits than its factorization.

100430680464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17626 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 100430680464 by its sum of digits (36), we get a square (3615504496704 = 1901448²).

100430680464 divided by its sum of digits (36) gives a square (2789741124 = 52818²).

The spelling of 100430680464 in words is "one hundred billion, four hundred thirty million, six hundred eighty thousand, four hundred sixty-four".