22505100 has 36 divisors (see below), whose sum is σ = 65115624. Its totient is φ = 6001280.

The previous prime is 22505089. The next prime is 22505111. The reversal of 22505100 is 150522.

It is an interprime number because it is at equal distance from previous prime (22505089) and next prime (22505111).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22505100.

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 11 ways as a sum of consecutive naturals, for example, 37209 + ... + 37808.

Almost surely, 2^22505100 is an apocalyptic number.

22505100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22505100 is an abundant number, since it is smaller than the sum of its proper divisors (42610524).

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

22505100 is a wasteful number, since it uses less digits than its factorization.

22505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75034 (or 75027 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 22505100 is about 4743.9540469950. The cubic root of 22505100 is about 282.3321372029.

Adding to 22505100 its reverse (150522), we get a palindrome (22655622).

The spelling of 22505100 in words is "twenty-two million, five hundred five thousand, one hundred".