101364624 has 45 divisors (see below), whose sum is σ = 284018683. Its totient is φ = 33747936.

The previous prime is 101364619. The next prime is 101364643. The reversal of 101364624 is 426463101.

The square root of 101364624 is 10068.

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

101364624 is a `hidden beast` number, since 1 + 0 + 1 + 36 + 4 + 624 = 666.

It is a super-2 number, since 2×101364624² = 20549573997322752, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 120397 + ... + 121235.

Almost surely, 2^101364624 is an apocalyptic number.

101364624 is the 10068-th square number.

It is an amenable number.

101364624 is an abundant number, since it is smaller than the sum of its proper divisors (182654059).

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

101364624 is an frugal number, since it uses more digits than its factorization.

101364624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The cubic root of 101364624 is about 466.2606927328.

The spelling of 101364624 in words is "one hundred one million, three hundred sixty-four thousand, six hundred twenty-four".