125051100 has 72 divisors (see below), whose sum is σ = 363570480. Its totient is φ = 33185280.

The previous prime is 125051063. The next prime is 125051119. The reversal of 125051100 is 1150521.

It is a super-2 number, since 2×125051100² = 31275555222420000, which contains 22 as substring.

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 125051100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 69006 + ... + 70794.

It is an arithmetic number, because the mean of its divisors is an integer number (5049590).

Almost surely, 2^125051100 is an apocalyptic number.

125051100 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 125051100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181785240).

125051100 is an abundant number, since it is smaller than the sum of its proper divisors (238519380).

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

125051100 is a wasteful number, since it uses less digits than its factorization.

125051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2032 counting only the distinct ones).

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

The square root of 125051100 is about 11182.6249154660. The cubic root of 125051100 is about 500.0681240511.

The spelling of 125051100 in words is "one hundred twenty-five million, fifty-one thousand, one hundred".