100507825 has 24 divisors (see below), whose sum is σ = 143964000. Its totient is φ = 68793600.

The previous prime is 100507807. The next prime is 100507831. The reversal of 100507825 is 528705001.

It is not a de Polignac number, because 100507825 - 2⁵ = 100507793 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100507793 and 100507802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6075 + ... + 15424.

It is an arithmetic number, because the mean of its divisors is an integer number (5998500).

Almost surely, 2^100507825 is an apocalyptic number.

It is an amenable number.

100507825 is a deficient number, since it is larger than the sum of its proper divisors (43456175).

100507825 is a wasteful number, since it uses less digits than its factorization.

100507825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21537 (or 21532 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The square root of 100507825 is about 10025.3590958130. The cubic root of 100507825 is about 464.9432620486.

The spelling of 100507825 in words is "one hundred million, five hundred seven thousand, eight hundred twenty-five".