100000091108512 has 144 divisors (see below), whose sum is σ = 230462414300160. Its totient is φ = 42587372889600.

The previous prime is 100000091108503. The next prime is 100000091108521. The reversal of 100000091108512 is 215801190000001.

It is an interprime number because it is at equal distance from previous prime (100000091108503) and next prime (100000091108521).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 281640789 + ... + 281995627.

It is an arithmetic number, because the mean of its divisors is an integer number (1600433432640).

Almost surely, 2^{100000091108512} 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 100000091108512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115231207150080).

100000091108512 is an abundant number, since it is smaller than the sum of its proper divisors (130462323191648).

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

100000091108512 is a wasteful number, since it uses less digits than its factorization.

100000091108512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355995 (or 355980 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 28.

The spelling of 100000091108512 in words is "one hundred trillion, ninety-one million, one hundred eight thousand, five hundred twelve".