104992 has 24 divisors (see below), whose sum is σ = 219996. Its totient is φ = 49152.

The previous prime is 104987. The next prime is 104999. The reversal of 104992 is 299401.

104992 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 16 = 324^2 + 4^2 .

It is a super-2 number, since 2×104992² = 22046640128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104999) by changing a digit.

104992 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, 448 + ... + 640.

2¹⁰⁴⁹⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109998).

104992 is an abundant number, since it is smaller than the sum of its proper divisors (115004).

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

104992 is a wasteful number, since it uses less digits than its factorization.

104992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 104992 is about 324.0246904173. The cubic root of 104992 is about 47.1757416282.

It can be divided in two parts, 10499 and 2, that added together give a palindrome (10501).

The spelling of 104992 in words is "one hundred four thousand, nine hundred ninety-two".