104976 has 45 divisors (see below), whose sum is σ = 305071. Its totient is φ = 34992.

The previous prime is 104971. The next prime is 104987. The reversal of 104976 is 679401.

104976 = T_{323} + T_{324}.

The square root of 104976 is 324.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

It is a super-2 number, since 2×104976^{2} = 22039921152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34991 + 34992 + 34993.

104976 is a Friedman number, since it can be written as (9*(7-6+1+0))^4, using all its digits and the basic arithmetic operations.

2^{104976} is an apocalyptic number.

104976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104976 is the 324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104976

104976 is an abundant number, since it is smaller than the sum of its proper divisors (200095).

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

104976 is an frugal number, since it uses more digits than its factorization.

104976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 104976 is about 47.1733450958.

The spelling of 104976 in words is "one hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4374 5832 6561 8748 11664 13122 17496 26244 34992 52488 104976

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