102400324765 has 16 divisors (see below), whose sum is σ = 126235584432. Its totient is φ = 79684660224.

The previous prime is 102400324729. The next prime is 102400324769. The reversal of 102400324765 is 567423004201.

It can be written as a sum of positive squares in 8 ways, for example, as 18245795929 + 84154528836 = 135077^2 + 290094^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102400324765 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102400324765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102400324769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 629557 + ... + 775333.

It is an arithmetic number, because the mean of its divisors is an integer number (7889724027).

Almost surely, 2^102400324765 is an apocalyptic number.

It is an amenable number.

102400324765 is a deficient number, since it is larger than the sum of its proper divisors (23835259667).

102400324765 is a wasteful number, since it uses less digits than its factorization.

102400324765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149616.

The product of its (nonzero) digits is 40320, while the sum is 34.

Adding to 102400324765 its reverse (567423004201), we get a palindrome (669823328966).

The spelling of 102400324765 in words is "one hundred two billion, four hundred million, three hundred twenty-four thousand, seven hundred sixty-five".