104968 has 8 divisors (see below), whose sum is σ = 196830. Its totient is φ = 52480.

The previous prime is 104959. The next prime is 104971. The reversal of 104968 is 869401.

It can be written as a sum of positive squares in only one way, i.e., 101124 + 3844 = 318^2 + 62^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×104968² = 22036562048, which contains 22 as substring.

It is an unprimeable number.

104968 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 as a sum of consecutive naturals, namely, 6553 + ... + 6568.

104968 is a Friedman number, since it can be written as 9^4*(10+6)-8, using all its digits and the basic arithmetic operations.

2¹⁰⁴⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

104968 is a deficient number, since it is larger than the sum of its proper divisors (91862).

104968 is a wasteful number, since it uses less digits than its factorization.

104968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13127 (or 13123 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 104968 is about 323.9876540858. The cubic root of 104968 is about 47.1721467382.

The spelling of 104968 in words is "one hundred four thousand, nine hundred sixty-eight".