100996 has 12 divisors (see below), whose sum is σ = 202048. Its totient is φ = 43272.

The previous prime is 100987. The next prime is 100999. The reversal of 100996 is 699001.

100996 = 53² + 54² + ... + 76².

100996 is an admirable number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100996.

It is not an unprimeable number, because it can be changed into a prime (100999) by changing a digit.

100996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1776 + ... + 1831.

2¹⁰⁰⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

100996 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

100996 is a wasteful number, since it uses less digits than its factorization.

100996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 100996 is about 317.7986784113. The cubic root of 100996 is about 46.5694802832.

Adding to 100996 its reverse (699001), we get a palindrome (799997).

The spelling of 100996 in words is "one hundred thousand, nine hundred ninety-six".