104610 has 32 divisors (see below), whose sum is σ = 274752. Its totient is φ = 25280.

The previous prime is 104597. The next prime is 104623. The reversal of 104610 is 16401.

104610 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (104597) and next prime (104623).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

104610 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172 + ... + 488.

It is an arithmetic number, because the mean of its divisors is an integer number (8586).

2¹⁰⁴⁶¹⁰ is an apocalyptic number.

104610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137376).

104610 is an abundant number, since it is smaller than the sum of its proper divisors (170142).

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

104610 is a wasteful number, since it uses less digits than its factorization.

104610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 104610 is about 323.4346920168. The cubic root of 104610 is about 47.1184577925.

Multiplying 104610 by its sum of digits (12), we get a triangular number (1255320 = T₁₅₈₄).

Subtracting from 104610 its reverse (16401), we obtain a square (88209 = 297²).

The spelling of 104610 in words is "one hundred four thousand, six hundred ten".