102032931840 has 704 divisors, whose sum is σ = 395319260160. Its totient is φ = 21965045760.

The previous prime is 102032931829. The next prime is 102032931853. The reversal of 102032931840 is 48139230201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134077060 + ... + 134077820.

It is an arithmetic number, because the mean of its divisors is an integer number (561533040).

Almost surely, 2^102032931840 is an apocalyptic number.

102032931840 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 102032931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197659630080).

102032931840 is an abundant number, since it is smaller than the sum of its proper divisors (293286328320).

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

102032931840 is a wasteful number, since it uses less digits than its factorization.

102032931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 102032931840 in words is "one hundred two billion, thirty-two million, nine hundred thirty-one thousand, eight hundred forty".