101390564 has 48 divisors (see below), whose sum is σ = 198594816. Its totient is φ = 44906400.

The previous prime is 101390563. The next prime is 101390573. The reversal of 101390564 is 465093101.

It is not an unprimeable number, because it can be changed into a prime (101390561) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 480419 + ... + 480629.

It is an arithmetic number, because the mean of its divisors is an integer number (4137392).

Almost surely, 2^101390564 is an apocalyptic number.

It is an amenable number.

101390564 is a deficient number, since it is larger than the sum of its proper divisors (97204252).

101390564 is a wasteful number, since it uses less digits than its factorization.

101390564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 101390564 is about 10069.2881575611. The cubic root of 101390564 is about 466.3004625930.

The spelling of 101390564 in words is "one hundred one million, three hundred ninety thousand, five hundred sixty-four".