125315100 has 162 divisors, whose sum is σ = 410015424. Its totient is φ = 33242400.

The previous prime is 125315087. The next prime is 125315101. The reversal of 125315100 is 1513521.

125315100 is a `hidden beast` number, since 125 + 31 + 510 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (162).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125315101) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 656005 + ... + 656195.

Almost surely, 2^125315100 is an apocalyptic number.

125315100 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 125315100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205007712).

125315100 is an abundant number, since it is smaller than the sum of its proper divisors (284700324).

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

125315100 is an equidigital number, since it uses as much as digits as its factorization.

125315100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 125315100 is about 11194.4227184791. The cubic root of 125315100 is about 500.4197808029.

Adding to 125315100 its reverse (1513521), we get a palindrome (126828621).

The spelling of 125315100 in words is "one hundred twenty-five million, three hundred fifteen thousand, one hundred".