102400324 has 24 divisors (see below), whose sum is σ = 201378240. Its totient is φ = 45206304.

The previous prime is 102400313. The next prime is 102400369. The reversal of 102400324 is 423004201.

It is a junction number, because it is equal to n+sod(n) for n = 102400298 and 102400307.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41614 + ... + 44005.

It is an arithmetic number, because the mean of its divisors is an integer number (8390760).

Almost surely, 2^102400324 is an apocalyptic number.

It is an amenable number.

102400324 is a deficient number, since it is larger than the sum of its proper divisors (98977916).

102400324 is a wasteful number, since it uses less digits than its factorization.

102400324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85659 (or 85657 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 102400324 is about 10119.3045215568. The cubic root of 102400324 is about 467.8433315415.

Adding to 102400324 its reverse (423004201), we get a palindrome (525404525).

It can be divided in two parts, 102400 and 324, that multiplied together give a square (33177600 = 5760²).

The spelling of 102400324 in words is "one hundred two million, four hundred thousand, three hundred twenty-four".