102126564 has 18 divisors (see below), whose sum is σ = 258153350. Its totient is φ = 34042176.

The previous prime is 102126551. The next prime is 102126589. The reversal of 102126564 is 465621201.

102126564 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 2 + 656 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 13616100 = 9408^2 + 3690^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1418389 + ... + 1418460.

Almost surely, 2^102126564 is an apocalyptic number.

It is an amenable number.

102126564 is an abundant number, since it is smaller than the sum of its proper divisors (156026786).

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

102126564 is a wasteful number, since it uses less digits than its factorization.

102126564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836859 (or 2836854 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102126564 is about 10105.7688475445. The cubic root of 102126564 is about 467.4260441412.

Adding to 102126564 its reverse (465621201), we get a palindrome (567747765).

The spelling of 102126564 in words is "one hundred two million, one hundred twenty-six thousand, five hundred sixty-four".