102968409720 has 128 divisors (see below), whose sum is σ = 337248334080. Its totient is φ = 24942720000.

The previous prime is 102968409701. The next prime is 102968409721. The reversal of 102968409720 is 27904869201.

It is a self number, because there is not a number n which added to its sum of digits gives 102968409720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102968409721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714195 + ... + 1773245.

It is an arithmetic number, because the mean of its divisors is an integer number (2634752610).

Almost surely, 2^102968409720 is an apocalyptic number.

102968409720 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 102968409720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168624167040).

102968409720 is an abundant number, since it is smaller than the sum of its proper divisors (234279924360).

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

102968409720 is a wasteful number, since it uses less digits than its factorization.

102968409720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60397 (or 60393 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 102968409720 in words is "one hundred two billion, nine hundred sixty-eight million, four hundred nine thousand, seven hundred twenty".