125663100 has 72 divisors (see below), whose sum is σ = 373444848. Its totient is φ = 32601600.

The previous prime is 125663077. The next prime is 125663129. The reversal of 125663100 is 1366521.

It is a super-2 number, since 2×125663100² = 31582429403220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5440 + ... + 16760.

It is an arithmetic number, because the mean of its divisors is an integer number (5186734).

Almost surely, 2^125663100 is an apocalyptic number.

125663100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125663100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186722424).

125663100 is an abundant number, since it is smaller than the sum of its proper divisors (247781748).

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

125663100 is a wasteful number, since it uses less digits than its factorization.

125663100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11375 (or 11368 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 125663100 is about 11209.9553968783. The cubic root of 125663100 is about 500.8825745411.

The spelling of 125663100 in words is "one hundred twenty-five million, six hundred sixty-three thousand, one hundred".