102993670752 has 288 divisors, whose sum is σ = 330703521120. Its totient is φ = 27944017920.

The previous prime is 102993670739. The next prime is 102993670763. The reversal of 102993670752 is 257076399201.

It is a junction number, because it is equal to n+sod(n) for n = 102993670695 and 102993670704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8315188 + ... + 8327564.

It is an arithmetic number, because the mean of its divisors is an integer number (1148276115).

Almost surely, 2^102993670752 is an apocalyptic number.

102993670752 is a gapful number since it is divisible by the number (12) 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 102993670752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165351760560).

102993670752 is an abundant number, since it is smaller than the sum of its proper divisors (227709850368).

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

102993670752 is a wasteful number, since it uses less digits than its factorization.

102993670752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12494 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 102993670752 in words is "one hundred two billion, nine hundred ninety-three million, six hundred seventy thousand, seven hundred fifty-two".