100009875 has 64 divisors (see below), whose sum is σ = 196485120. Its totient is φ = 44208000.

The previous prime is 100009849. The next prime is 100009883. The reversal of 100009875 is 578900001.

It is not a de Polignac number, because 100009875 - 2⁷ = 100009747 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80761 + ... + 81989.

It is an arithmetic number, because the mean of its divisors is an integer number (3070080).

Almost surely, 2^100009875 is an apocalyptic number.

100009875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100009875 is a deficient number, since it is larger than the sum of its proper divisors (96475245).

100009875 is a wasteful number, since it uses less digits than its factorization.

100009875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 100009875 is about 10000.4937378111. The cubic root of 100009875 is about 464.1741614216.

Adding to 100009875 its reverse (578900001), we get a palindrome (678909876).

The spelling of 100009875 in words is "one hundred million, nine thousand, eight hundred seventy-five".