102920980968 has 256 divisors, whose sum is σ = 311315424000. Its totient is φ = 31317000192.

The previous prime is 102920980963. The next prime is 102920980979. The reversal of 102920980968 is 869089029201.

It is a Cunningham number, because it is equal to 320813²-1.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (102920980961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178372296 + ... + 178372872.

It is an arithmetic number, because the mean of its divisors is an integer number (1216075875).

Almost surely, 2^102920980968 is an apocalyptic number.

102920980968 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 102920980968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155657712000).

102920980968 is an abundant number, since it is smaller than the sum of its proper divisors (208394443032).

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

102920980968 is a wasteful number, since it uses less digits than its factorization.

102920980968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 102920980968 in words is "one hundred two billion, nine hundred twenty million, nine hundred eighty thousand, nine hundred sixty-eight".