100679290000 has 225 divisors, whose sum is σ = 258808738287. Its totient is φ = 37923696000.

The previous prime is 100679289989. The next prime is 100679290003. The reversal of 100679290000 is 92976001.

The square root of 100679290000 is 317300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 7893256336 + 92786033664 = 88844^2 + 304608^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100679290003) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 602869917 + ... + 602870083.

Almost surely, 2^100679290000 is an apocalyptic number.

100679290000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100679290000 is the 317300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100679290000

100679290000 is an abundant number, since it is smaller than the sum of its proper divisors (158129448287).

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

100679290000 is an frugal number, since it uses more digits than its factorization.

100679290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 100679290000 in words is "one hundred billion, six hundred seventy-nine million, two hundred ninety thousand".