968817302100 has 144 divisors (see below), whose sum is σ = 3115193739840. Its totient is φ = 258299395200.

The previous prime is 968817302093. The next prime is 968817302113. The reversal of 968817302100 is 1203718869.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14495359 + ... + 14562041.

It is an arithmetic number, because the mean of its divisors is an integer number (21633289860).

Almost surely, 2^968817302100 is an apocalyptic number.

968817302100 is a gapful number since it is divisible by the number (90) 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 968817302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557596869920).

968817302100 is an abundant number, since it is smaller than the sum of its proper divisors (2146376437740).

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

968817302100 is a wasteful number, since it uses less digits than its factorization.

968817302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72087 (or 72074 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 968817302100 in words is "nine hundred sixty-eight billion, eight hundred seventeen million, three hundred two thousand, one hundred".