100026564 has 48 divisors (see below), whose sum is σ = 268020480. Its totient is φ = 28715040.

The previous prime is 100026551. The next prime is 100026569. The reversal of 100026564 is 465620001.

It is not an unprimeable number, because it can be changed into a prime (100026569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17434 + ... + 22449.

It is an arithmetic number, because the mean of its divisors is an integer number (5583760).

Almost surely, 2^100026564 is an apocalyptic number.

It is an amenable number.

100026564 is an abundant number, since it is smaller than the sum of its proper divisors (167993916).

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

100026564 is a wasteful number, since it uses less digits than its factorization.

100026564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39920 (or 39918 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 100026564 is about 10001.3281118060. The cubic root of 100026564 is about 464.1999794445.

Adding to 100026564 its reverse (465620001), we get a palindrome (565646565).

The spelling of 100026564 in words is "one hundred million, twenty-six thousand, five hundred sixty-four".