100679680 has 60 divisors (see below), whose sum is σ = 241820460. Its totient is φ = 40239104.

The previous prime is 100679669. The next prime is 100679681. The reversal of 100679680 is 86976001.

It can be written as a sum of positive squares in 2 ways, for example, as 75759616 + 24920064 = 8704^2 + 4992^2 .

It is not an unprimeable number, because it can be changed into a prime (100679681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81306 + ... + 82534.

It is an arithmetic number, because the mean of its divisors is an integer number (4030341).

Almost surely, 2^100679680 is an apocalyptic number.

100679680 is a gapful number since it is divisible by the number (10) 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 100679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120910230).

100679680 is an abundant number, since it is smaller than the sum of its proper divisors (141140780).

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

100679680 is an frugal number, since it uses more digits than its factorization.

100679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 100679680 is about 10033.9264498002. The cubic root of 100679680 is about 465.2081081819.

The spelling of 100679680 in words is "one hundred million, six hundred seventy-nine thousand, six hundred eighty".