100879616 has 36 divisors (see below), whose sum is σ = 204808800. Its totient is φ = 49577472.

The previous prime is 100879613. The next prime is 100879619. The reversal of 100879616 is 616978001.

It is an interprime number because it is at equal distance from previous prime (100879613) and next prime (100879619).

It is a self number, because there is not a number n which added to its sum of digits gives 100879616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100879613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11765 + ... + 18443.

Almost surely, 2^100879616 is an apocalyptic number.

100879616 is a gapful number since it is divisible by the number (16) 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 100879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102404400).

100879616 is an abundant number, since it is smaller than the sum of its proper divisors (103929184).

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

100879616 is an frugal number, since it uses more digits than its factorization.

100879616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 100879616 is about 10043.8845075001. The cubic root of 100879616 is about 465.5158510041.

The spelling of 100879616 in words is "one hundred million, eight hundred seventy-nine thousand, six hundred sixteen".