102400225 has 12 divisors (see below), whose sum is σ = 127741824. Its totient is φ = 81426320.

The previous prime is 102400217. The next prime is 102400229. The reversal of 102400225 is 522004201.

It is not a de Polignac number, because 102400225 - 2³ = 102400217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102400199 and 102400208.

It is not an unprimeable number, because it can be changed into a prime (102400229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8089 + ... + 16438.

It is an arithmetic number, because the mean of its divisors is an integer number (10645152).

Almost surely, 2^102400225 is an apocalyptic number.

It is an amenable number.

102400225 is a deficient number, since it is larger than the sum of its proper divisors (25341599).

102400225 is a wasteful number, since it uses less digits than its factorization.

102400225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24704 (or 24699 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 102400225 is about 10119.2996299151. The cubic root of 102400225 is about 467.8431807721.

Adding to 102400225 its reverse (522004201), we get a palindrome (624404426).

It can be divided in two parts, 102400 and 225, that multiplied together give a square (23040000 = 4800²).

The spelling of 102400225 in words is "one hundred two million, four hundred thousand, two hundred twenty-five".