100033125 has 40 divisors (see below), whose sum is σ = 172144896. Its totient is φ = 51600000.

The previous prime is 100033111. The next prime is 100033133. The reversal of 100033125 is 521330001.

It is a happy number.

It is not a de Polignac number, because 100033125 - 2⁷ = 100032997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57265 + ... + 58985.

Almost surely, 2^100033125 is an apocalyptic number.

100033125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100033125 is a deficient number, since it is larger than the sum of its proper divisors (72111771).

100033125 is an equidigital number, since it uses as much as digits as its factorization.

100033125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 100033125 is about 10001.6561128645. The cubic root of 100033125 is about 464.2101285801.

Adding to 100033125 its reverse (521330001), we get a palindrome (621363126).

The spelling of 100033125 in words is "one hundred million, thirty-three thousand, one hundred twenty-five".