100088967225052 has 96 divisors (see below), whose sum is σ = 200625164917632. Its totient is φ = 43281985560576.

The previous prime is 100088967225031. The next prime is 100088967225053. The reversal of 100088967225052 is 250522769880001.

It is a junction number, because it is equal to n+sod(n) for n = 100088967224984 and 100088967225002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100088967225053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207969048 + ... + 208449760.

It is an arithmetic number, because the mean of its divisors is an integer number (2089845467892).

Almost surely, 2^{100088967225052} is an apocalyptic number.

It is an amenable number.

100088967225052 is an abundant number, since it is smaller than the sum of its proper divisors (100536197692580).

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

100088967225052 is a wasteful number, since it uses less digits than its factorization.

100088967225052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481807 (or 481805 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 55.

The spelling of 100088967225052 in words is "one hundred trillion, eighty-eight billion, nine hundred sixty-seven million, two hundred twenty-five thousand, fifty-two".