100365825 has 24 divisors (see below), whose sum is σ = 189644608. Its totient is φ = 45881280.

The previous prime is 100365823. The next prime is 100365829. The reversal of 100365825 is 528563001.

It is not a de Polignac number, because 100365825 - 2¹ = 100365823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100365792 and 100365801.

It is not an unprimeable number, because it can be changed into a prime (100365823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95062 + ... + 96111.

Almost surely, 2^100365825 is an apocalyptic number.

100365825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100365825 is a deficient number, since it is larger than the sum of its proper divisors (89278783).

100365825 is a wasteful number, since it uses less digits than its factorization.

100365825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191193 (or 191188 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 100365825 is about 10018.2745520374. The cubic root of 100365825 is about 464.7241976454.

The spelling of 100365825 in words is "one hundred million, three hundred sixty-five thousand, eight hundred twenty-five".