102369484800 has 1512 divisors, whose sum is σ = 442568658168. Its totient is φ = 23357030400.

The previous prime is 102369484781. The next prime is 102369484801. The reversal of 102369484800 is 8484963201.

It is a happy number.

102369484800 is a `hidden beast` number, since 10 + 23 + 69 + 484 + 80 + 0 = 666.

It is a super-2 number, since 2×102369484800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102369484801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6021734392 + ... + 6021734408.

It is an arithmetic number, because the mean of its divisors is an integer number (292704139).

Almost surely, 2^102369484800 is an apocalyptic number.

102369484800 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 102369484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221284329084).

102369484800 is an abundant number, since it is smaller than the sum of its proper divisors (340199173368).

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

102369484800 is an equidigital number, since it uses as much as digits as its factorization.

102369484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 102369484800 in words is "one hundred two billion, three hundred sixty-nine million, four hundred eighty-four thousand, eight hundred".