102431983808 has 112 divisors (see below), whose sum is σ = 253547172864. Its totient is φ = 39888445440.

The previous prime is 102431983781. The next prime is 102431983811. The reversal of 102431983808 is 808389134201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×102431983808² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13089785 + ... + 13097607.

Almost surely, 2^102431983808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102431983808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126773586432).

102431983808 is an abundant number, since it is smaller than the sum of its proper divisors (151115189056).

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

102431983808 is a wasteful number, since it uses less digits than its factorization.

102431983808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10510 (or 10500 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 102431983808 in words is "one hundred two billion, four hundred thirty-one million, nine hundred eighty-three thousand, eight hundred eight".