100986912 has 216 divisors, whose sum is σ = 329830956. Its totient is φ = 30233088.

The previous prime is 100986877. The next prime is 100986917. The reversal of 100986912 is 219689001.

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 104976 = 10044^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (100986917) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2729358 + ... + 2729394.

Almost surely, 2^100986912 is an apocalyptic number.

100986912 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 100986912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164915478).

100986912 is an abundant number, since it is smaller than the sum of its proper divisors (228844044).

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

100986912 is an frugal number, since it uses more digits than its factorization.

100986912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 100986912 is about 10049.2244476875. The cubic root of 100986912 is about 465.6808340895.

The spelling of 100986912 in words is "one hundred million, nine hundred eighty-six thousand, nine hundred twelve".