100093825 has 24 divisors (see below), whose sum is σ = 134741376. Its totient is φ = 73320000.

The previous prime is 100093813. The next prime is 100093831. The reversal of 100093825 is 528390001.

It is not a de Polignac number, because 100093825 - 2⁵ = 100093793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100093793 and 100093802.

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, 41400 + ... + 43750.

It is an arithmetic number, because the mean of its divisors is an integer number (5614224).

Almost surely, 2^100093825 is an apocalyptic number.

It is an amenable number.

100093825 is a deficient number, since it is larger than the sum of its proper divisors (34647551).

100093825 is a wasteful number, since it uses less digits than its factorization.

100093825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 100093825 is about 10004.6901501246. The cubic root of 100093825 is about 464.3040036751.

The spelling of 100093825 in words is "one hundred million, ninety-three thousand, eight hundred twenty-five".