102380433408 has 416 divisors, whose sum is σ = 335293670400. Its totient is φ = 30994513920.

The previous prime is 102380433377. The next prime is 102380433433. The reversal of 102380433408 is 804334083201.

It is a happy number.

102380433408 is a `hidden beast` number, since 10 + 238 + 0 + 4 + 3 + 3 + 408 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98536953 + ... + 98537991.

It is an arithmetic number, because the mean of its divisors is an integer number (805994400).

Almost surely, 2^102380433408 is an apocalyptic number.

102380433408 is a gapful number since it is divisible by the number (18) 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 102380433408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167646835200).

102380433408 is an abundant number, since it is smaller than the sum of its proper divisors (232913236992).

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

102380433408 is an frugal number, since it uses more digits than its factorization.

102380433408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 102380433408 in words is "one hundred two billion, three hundred eighty million, four hundred thirty-three thousand, four hundred eight".