100959363072 has 336 divisors, whose sum is σ = 310574496960. Its totient is φ = 31510757376.

The previous prime is 100959363041. The next prime is 100959363107. The reversal of 100959363072 is 270363959001.

100959363072 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 5 + 9 + 3 + 630 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135880333 + ... + 135881075.

It is an arithmetic number, because the mean of its divisors is an integer number (924328860).

Almost surely, 2^100959363072 is an apocalyptic number.

100959363072 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 100959363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155287248480).

100959363072 is an abundant number, since it is smaller than the sum of its proper divisors (209615133888).

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

100959363072 is an equidigital number, since it uses as much as digits as its factorization.

100959363072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 100959363072 in words is "one hundred billion, nine hundred fifty-nine million, three hundred sixty-three thousand, seventy-two".