100123825 has 24 divisors (see below), whose sum is σ = 132045120. Its totient is φ = 75096000.

The previous prime is 100123819. The next prime is 100123867. The reversal of 100123825 is 528321001.

It is not a de Polignac number, because 100123825 - 2⁷ = 100123697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100123796 and 100123805.

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, 46932 + ... + 49018.

It is an arithmetic number, because the mean of its divisors is an integer number (5501880).

Almost surely, 2^100123825 is an apocalyptic number.

It is an amenable number.

100123825 is a deficient number, since it is larger than the sum of its proper divisors (31921295).

100123825 is a wasteful number, since it uses less digits than its factorization.

100123825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 100123825 is about 10006.1893346069. The cubic root of 100123825 is about 464.3503859194.

Adding to 100123825 its reverse (528321001), we get a palindrome (628444826).

The spelling of 100123825 in words is "one hundred million, one hundred twenty-three thousand, eight hundred twenty-five".