100091584116992 has 144 divisors (see below), whose sum is σ = 227838194608752. Its totient is φ = 43474715934720.

The previous prime is 100091584116949. The next prime is 100091584117069. The reversal of 100091584116992 is 299611485190001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12269495750656 + 87822088366336 = 3502784^2 + 9371344^2 .

It is a super-2 number, since 2×100091584116992² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 666220442 + ... + 666370662.

It is an arithmetic number, because the mean of its divisors is an integer number (1582209684783).

Almost surely, 2^{100091584116992} 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 100091584116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113919097304376).

100091584116992 is an abundant number, since it is smaller than the sum of its proper divisors (127746610491760).

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

100091584116992 is a wasteful number, since it uses less digits than its factorization.

100091584116992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162044 (or 162030 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 56.

The spelling of 100091584116992 in words is "one hundred trillion, ninety-one billion, five hundred eighty-four million, one hundred sixteen thousand, nine hundred ninety-two".