106504 has 8 divisors (see below), whose sum is σ = 199710. Its totient is φ = 53248.

The previous prime is 106501. The next prime is 106531. The reversal of 106504 is 405601.

It can be written as a sum of positive squares in only one way, i.e., 96100 + 10404 = 310^2 + 102^2 .

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

It is a super-2 number, since 2×106504² = 22686204032, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106504.

It is not an unprimeable number, because it can be changed into a prime (106501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6649 + ... + 6664.

2¹⁰⁶⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

106504 is a deficient number, since it is larger than the sum of its proper divisors (93206).

106504 is a wasteful number, since it uses less digits than its factorization.

106504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13319 (or 13315 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 106504 is about 326.3495058982. The cubic root of 106504 is about 47.4011239623.

The spelling of 106504 in words is "one hundred six thousand, five hundred four".