125108400 has 120 divisors (see below), whose sum is σ = 404219664. Its totient is φ = 33075200.

The previous prime is 125108387. The next prime is 125108411. The reversal of 125108400 is 4801521.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×125108400² = 31304223501120000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164020 + ... + 164780.

Almost surely, 2^125108400 is an apocalyptic number.

125108400 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 125108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202109832).

125108400 is an abundant number, since it is smaller than the sum of its proper divisors (279111264).

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

125108400 is a wasteful number, since it uses less digits than its factorization.

125108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 125108400 is about 11185.1866323276. The cubic root of 125108400 is about 500.1444915737.

Adding to 125108400 its reverse (4801521), we get a palindrome (129909921).

It can be divided in two parts, 12510 and 8400, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 125108400 in words is "one hundred twenty-five million, one hundred eight thousand, four hundred".