102323626323200 has 432 divisors, whose sum is σ = 267410135655936. Its totient is φ = 38687244288000.

The previous prime is 102323626323169. The next prime is 102323626323227. The reversal of 102323626323200 is 2323626323201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10009153289 + ... + 10009163511.

It is an arithmetic number, because the mean of its divisors is an integer number (619004943648).

Almost surely, 2^{102323626323200} is an apocalyptic number.

102323626323200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102323626323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133705067827968).

102323626323200 is an abundant number, since it is smaller than the sum of its proper divisors (165086509332736).

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

102323626323200 is a wasteful number, since it uses less digits than its factorization.

102323626323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11070 (or 11051 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 35.

Subtracting from 102323626323200 its reverse (2323626323201), we obtain a palindrome (99999999999999).

The spelling of 102323626323200 in words is "one hundred two trillion, three hundred twenty-three billion, six hundred twenty-six million, three hundred twenty-three thousand, two hundred".