100886446080 has 816 divisors, whose sum is σ = 416793197184. Its totient is φ = 22932357120.

The previous prime is 100886446051. The next prime is 100886446091. The reversal of 100886446080 is 80644688001.

100886446080 is a `hidden beast` number, since 100 + 8 + 8 + 6 + 4 + 460 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557383590 + ... + 557383770.

Almost surely, 2^100886446080 is an apocalyptic number.

100886446080 is a gapful number since it is divisible by the number (10) 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 100886446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208396598592).

100886446080 is an abundant number, since it is smaller than the sum of its proper divisors (315906751104).

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

100886446080 is an frugal number, since it uses more digits than its factorization.

100886446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 100886446080 in words is "one hundred billion, eight hundred eighty-six million, four hundred forty-six thousand, eighty".