100129125 has 32 divisors (see below), whose sum is σ = 168674688. Its totient is φ = 52742400.

The previous prime is 100129111. The next prime is 100129153. The reversal of 100129125 is 521921001.

It is not a de Polignac number, because 100129125 - 2⁴ = 100129109 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29517 + ... + 32733.

It is an arithmetic number, because the mean of its divisors is an integer number (5271084).

Almost surely, 2^100129125 is an apocalyptic number.

100129125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100129125 is a deficient number, since it is larger than the sum of its proper divisors (68545563).

100129125 is an equidigital number, since it uses as much as digits as its factorization.

100129125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3318 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 100129125 is about 10006.4541671863. The cubic root of 100129125 is about 464.3585791529.

The spelling of 100129125 in words is "one hundred million, one hundred twenty-nine thousand, one hundred twenty-five".