102400825 has 6 divisors (see below), whose sum is σ = 126977054. Its totient is φ = 81920640.

The previous prime is 102400817. The next prime is 102400841. The reversal of 102400825 is 528004201.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 101384761 = 1008^2 + 10069^2 .

It is not a de Polignac number, because 102400825 - 2³ = 102400817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102400796 and 102400805.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2047992 + ... + 2048041.

Almost surely, 2^102400825 is an apocalyptic number.

It is an amenable number.

102400825 is a deficient number, since it is larger than the sum of its proper divisors (24576229).

102400825 is an equidigital number, since it uses as much as digits as its factorization.

102400825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096043 (or 4096038 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 102400825 is about 10119.3292761922. The cubic root of 102400825 is about 467.8440945246.

The spelling of 102400825 in words is "one hundred two million, four hundred thousand, eight hundred twenty-five".