125150100 has 72 divisors (see below), whose sum is σ = 373809408. Its totient is φ = 32294400.

The previous prime is 125150087. The next prime is 125150117. The reversal of 125150100 is 1051521.

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 125150100.

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, 2572 + ... + 16028.

Almost surely, 2^125150100 is an apocalyptic number.

125150100 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 125150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186904704).

125150100 is an abundant number, since it is smaller than the sum of its proper divisors (248659308).

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

125150100 is a wasteful number, since it uses less digits than its factorization.

125150100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13505 (or 13498 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 125150100 is about 11187.0505496310. The cubic root of 125150100 is about 500.2000532800.

It can be divided in two parts, 125150 and 100, that added together give a triangular number (125250 = T₅₀₀).

The spelling of 125150100 in words is "one hundred twenty-five million, one hundred fifty thousand, one hundred".