102492644800 has 336 divisors, whose sum is σ = 311438747200. Its totient is φ = 32328253440.

The previous prime is 102492644783. The next prime is 102492644801. The reversal of 102492644800 is 8446294201.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102492644801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50813392 + ... + 50815408.

Almost surely, 2^102492644800 is an apocalyptic number.

102492644800 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 102492644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155719373600).

102492644800 is an abundant number, since it is smaller than the sum of its proper divisors (208946102400).

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

102492644800 is a wasteful number, since it uses less digits than its factorization.

102492644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 102492644800 in words is "one hundred two billion, four hundred ninety-two million, six hundred forty-four thousand, eight hundred".