968815100 has 72 divisors (see below), whose sum is σ = 2367515136. Its totient is φ = 340920000.

The previous prime is 968815087. The next prime is 968815103. The reversal of 968815100 is 1518869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968815103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19895 + ... + 48305.

Almost surely, 2^968815100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968815100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183757568).

968815100 is an abundant number, since it is smaller than the sum of its proper divisors (1398700036).

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

968815100 is a wasteful number, since it uses less digits than its factorization.

968815100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28467 (or 28460 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 38.

The square root of 968815100 is about 31125.7947689694. The cubic root of 968815100 is about 989.4950661167.

The spelling of 968815100 in words is "nine hundred sixty-eight million, eight hundred fifteen thousand, one hundred".