100835125 has 16 divisors (see below), whose sum is σ = 126126000. Its totient is φ = 80486400.

The previous prime is 100835099. The next prime is 100835149. The reversal of 100835125 is 521538001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16966161 + 83868964 = 4119^2 + 9158^2 .

It is not a de Polignac number, because 100835125 - 2⁷ = 100834997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 100835125.

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 15 ways as a sum of consecutive naturals, for example, 95601 + ... + 96649.

It is an arithmetic number, because the mean of its divisors is an integer number (7882875).

Almost surely, 2^100835125 is an apocalyptic number.

It is an amenable number.

100835125 is a deficient number, since it is larger than the sum of its proper divisors (25290875).

100835125 is an equidigital number, since it uses as much as digits as its factorization.

100835125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 100835125 is about 10041.6694329180. The cubic root of 100835125 is about 465.4474053588.

The spelling of 100835125 in words is "one hundred million, eight hundred thirty-five thousand, one hundred twenty-five".