104292 has 18 divisors (see below), whose sum is σ = 263718. Its totient is φ = 34752.

The previous prime is 104287. The next prime is 104297. The reversal of 104292 is 292401.

It is an interprime number because it is at equal distance from previous prime (104287) and next prime (104297).

It can be written as a sum of positive squares in only one way, i.e., 69696 + 34596 = 264^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 104292.

It is not an unprimeable number, because it can be changed into a prime (104297) by changing a digit.

104292 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 5 ways as a sum of consecutive naturals, for example, 1413 + ... + 1484.

It is an arithmetic number, because the mean of its divisors is an integer number (14651).

2¹⁰⁴²⁹² is an apocalyptic number.

104292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104292 is an abundant number, since it is smaller than the sum of its proper divisors (159426).

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

104292 is a wasteful number, since it uses less digits than its factorization.

104292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104292 is about 322.9427193791. The cubic root of 104292 is about 47.0706647898.

Adding to 104292 its reverse (292401), we get a palindrome (396693).

The spelling of 104292 in words is "one hundred four thousand, two hundred ninety-two".