125664100 has 81 divisors (see below), whose sum is σ = 292759257. Its totient is φ = 46812960.

The previous prime is 125664089. The next prime is 125664167. The reversal of 125664100 is 1466521.

The square root of 125664100 is 11210.

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

It can be written as a sum of positive squares in only one way, i.e., 45239076 + 80425024 = 6726^2 + 8968^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2129871 + ... + 2129929.

Almost surely, 2^125664100 is an apocalyptic number.

125664100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

125664100 is the 11210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125664100

125664100 is an abundant number, since it is smaller than the sum of its proper divisors (167095157).

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

125664100 is a wasteful number, since it uses less digits than its factorization.

125664100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 125664100 is about 500.8839031762.

Multiplying 125664100 by its sum of digits (25), we get a square (3141602500 = 56050²).

125664100 divided by its sum of digits (25) gives a square (5026564 = 2242²).

Multiplying 125664100 by its reverse (1466521), we get a square (184289041596100 = 13575310²).

It can be divided in two parts, 1256 and 64100, that added together give a palindrome (65356).

The spelling of 125664100 in words is "one hundred twenty-five million, six hundred sixty-four thousand, one hundred".