104960 has 40 divisors (see below), whose sum is σ = 257796. Its totient is φ = 40960.

The previous prime is 104959. The next prime is 104971. The reversal of 104960 is 69401.

It can be written as a sum of positive squares in 2 ways, for example, as 92416 + 12544 = 304^2 + 112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×104960^{2} = 22033203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2540 + ... + 2580.

2^{104960} is an apocalyptic number.

104960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128898).

104960 is an abundant number, since it is smaller than the sum of its proper divisors (152836).

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

104960 is an frugal number, since it uses more digits than its factorization.

104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 104960 is about 323.9753077011. The cubic root of 104960 is about 47.1709483198.

The spelling of 104960 in words is "one hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 1280 1312 1640 2560 2624 3280 5248 6560 10496 13120 20992 26240 52480 104960

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