105628464 has 60 divisors (see below), whose sum is σ = 302839992. Its totient is φ = 34348800.

The previous prime is 105628459. The next prime is 105628487. The reversal of 105628464 is 464826501.

105628464 is a `hidden beast` number, since 10 + 562 + 84 + 6 + 4 = 666.

It is a super-2 number, since 2×105628464² = 22314744813998592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 3042 + ... + 14849.

Almost surely, 2^105628464 is an apocalyptic number.

It is an amenable number.

105628464 is an abundant number, since it is smaller than the sum of its proper divisors (197211528).

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

105628464 is a wasteful number, since it uses less digits than its factorization.

105628464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17946 (or 17937 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 105628464 is about 10277.5709192396. The cubic root of 105628464 is about 472.7087647228.

The spelling of 105628464 in words is "one hundred five million, six hundred twenty-eight thousand, four hundred sixty-four".