100851825 has 24 divisors (see below), whose sum is σ = 171252928. Its totient is φ = 52332480.

The previous prime is 100851811. The next prime is 100851847. The reversal of 100851825 is 528158001.

It is not a de Polignac number, because 100851825 - 2⁶ = 100851761 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100851792 and 100851801.

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, 15397 + ... + 20946.

Almost surely, 2^100851825 is an apocalyptic number.

100851825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100851825 is a deficient number, since it is larger than the sum of its proper divisors (70401103).

100851825 is a wasteful number, since it uses less digits than its factorization.

100851825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36393 (or 36388 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 100851825 is about 10042.5009335324. The cubic root of 100851825 is about 465.4730992580.

The spelling of 100851825 in words is "one hundred million, eight hundred fifty-one thousand, eight hundred twenty-five".