104956 has 12 divisors (see below), whose sum is σ = 193480. Its totient is φ = 49680.

The previous prime is 104953. The next prime is 104959. The reversal of 104956 is 659401.

104956 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (104953) and next prime (104959).

It is a super-2 number, since 2×104956² = 22031523872, which contains 22 as substring.

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 zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 104956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 615 + ... + 766.

2¹⁰⁴⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

104956 is a deficient number, since it is larger than the sum of its proper divisors (88524).

104956 is a wasteful number, since it uses less digits than its factorization.

104956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 104956 is about 323.9691343323. The cubic root of 104956 is about 47.1703490877.

It can be divided in two parts, 10495 and 6, that added together give a palindrome (10501).

The spelling of 104956 in words is "one hundred four thousand, nine hundred fifty-six".