102294226718400 has 168 divisors, whose sum is σ = 335916260764560. Its totient is φ = 27253592637440.

The previous prime is 102294226718389. The next prime is 102294226718423. The reversal of 102294226718400 is 4817622492201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 102294226718400.

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, 4447845 + ... + 14979044.

It is an arithmetic number, because the mean of its divisors is an integer number (1999501552170).

Almost surely, 2^{102294226718400} is an apocalyptic number.

102294226718400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102294226718400 is an abundant number, since it is smaller than the sum of its proper divisors (233622034046160).

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

102294226718400 is a wasteful number, since it uses less digits than its factorization.

102294226718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19428011 (or 19427996 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 102294226718400 in words is "one hundred two trillion, two hundred ninety-four billion, two hundred twenty-six million, seven hundred eighteen thousand, four hundred".