100088877312 has 432 divisors, whose sum is σ = 318689851200. Its totient is φ = 31281168384.

The previous prime is 100088877311. The next prime is 100088877377. The reversal of 100088877312 is 213778880001.

It is a tau number, because it is divible by the number of its divisors (432).

It is not an unprimeable number, because it can be changed into a prime (100088877311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1031844048 + ... + 1031844144.

Almost surely, 2^100088877312 is an apocalyptic number.

100088877312 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 100088877312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159344925600).

100088877312 is an abundant number, since it is smaller than the sum of its proper divisors (218600973888).

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

100088877312 is an frugal number, since it uses more digits than its factorization.

100088877312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 100088877312 in words is "one hundred billion, eighty-eight million, eight hundred seventy-seven thousand, three hundred twelve".