100679712 has 144 divisors (see below), whose sum is σ = 325775520. Its totient is φ = 27052032.

The previous prime is 100679699. The next prime is 100679741. The reversal of 100679712 is 217976001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79339 + ... + 80597.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^100679712 is an apocalyptic number.

100679712 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 100679712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162887760).

100679712 is an abundant number, since it is smaller than the sum of its proper divisors (225095808).

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

100679712 is a wasteful number, since it uses less digits than its factorization.

100679712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 100679712 is about 10033.9280443902. The cubic root of 100679712 is about 465.2081574691.

The spelling of 100679712 in words is "one hundred million, six hundred seventy-nine thousand, seven hundred twelve".