100307712 has 72 divisors (see below), whose sum is σ = 268663360. Its totient is φ = 33223680.

The previous prime is 100307699. The next prime is 100307731. The reversal of 100307712 is 217703001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161739 + ... + 162357.

Almost surely, 2^100307712 is an apocalyptic number.

100307712 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 100307712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134331680).

100307712 is an abundant number, since it is smaller than the sum of its proper divisors (168355648).

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

100307712 is an equidigital number, since it uses as much as digits as its factorization.

100307712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 100307712 is about 10015.3737823408. The cubic root of 100307712 is about 464.6344867259.

The spelling of 100307712 in words is "one hundred million, three hundred seven thousand, seven hundred twelve".