100886003712 has 480 divisors, whose sum is σ = 328970194560. Its totient is φ = 30364139520.

The previous prime is 100886003689. The next prime is 100886003741. The reversal of 100886003712 is 217300688001.

100886003712 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 8 + 600 + 37 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304791387 + ... + 304791717.

It is an arithmetic number, because the mean of its divisors is an integer number (685354572).

Almost surely, 2^100886003712 is an apocalyptic number.

100886003712 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 100886003712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164485097280).

100886003712 is an abundant number, since it is smaller than the sum of its proper divisors (228084190848).

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

100886003712 is an equidigital number, since it uses as much as digits as its factorization.

100886003712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 100886003712 in words is "one hundred billion, eight hundred eighty-six million, three thousand, seven hundred twelve".