102939352320 has 288 divisors, whose sum is σ = 378445455360. Its totient is φ = 23358873600.

The previous prime is 102939352303. The next prime is 102939352381. The reversal of 102939352320 is 23253939201.

It is a super-2 number, since 2×102939352320² (a number of 23 digits) contains 22 as substring.

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, 3722545 + ... + 3750095.

It is an arithmetic number, because the mean of its divisors is an integer number (1314046720).

Almost surely, 2^102939352320 is an apocalyptic number.

102939352320 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 102939352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189222727680).

102939352320 is an abundant number, since it is smaller than the sum of its proper divisors (275506103040).

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

102939352320 is a wasteful number, since it uses less digits than its factorization.

102939352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27721 (or 27707 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 102939352320 in words is "one hundred two billion, nine hundred thirty-nine million, three hundred fifty-two thousand, three hundred twenty".