102400101324 has 72 divisors (see below), whose sum is σ = 274192158240. Its totient is φ = 32111304192.

The previous prime is 102400101319. The next prime is 102400101371. The reversal of 102400101324 is 423101004201.

102400101324 is a `hidden beast` number, since 1 + 0 + 240 + 0 + 101 + 324 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102400101297 and 102400101306.

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, 1391937 + ... + 1463655.

It is an arithmetic number, because the mean of its divisors is an integer number (3808224420).

Almost surely, 2^102400101324 is an apocalyptic number.

It is an amenable number.

102400101324 is an abundant number, since it is smaller than the sum of its proper divisors (171792056916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102400101324 is a wasteful number, since it uses less digits than its factorization.

102400101324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74079 (or 74074 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102400101324 its reverse (423101004201), we get a palindrome (525501105525).

The spelling of 102400101324 in words is "one hundred two billion, four hundred million, one hundred one thousand, three hundred twenty-four".