100076712 has 64 divisors (see below), whose sum is σ = 258552000. Its totient is φ = 32256000.

The previous prime is 100076707. The next prime is 100076723. The reversal of 100076712 is 217670001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222664 + ... + 223112.

It is an arithmetic number, because the mean of its divisors is an integer number (4039875).

Almost surely, 2^100076712 is an apocalyptic number.

100076712 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 100076712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276000).

100076712 is an abundant number, since it is smaller than the sum of its proper divisors (158475288).

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

100076712 is a wasteful number, since it uses less digits than its factorization.

100076712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 100076712 is about 10003.8348646906. The cubic root of 100076712 is about 464.2775415456.

The spelling of 100076712 in words is "one hundred million, seventy-six thousand, seven hundred twelve".