106404 has 12 divisors (see below), whose sum is σ = 248304. Its totient is φ = 35464.

The previous prime is 106397. The next prime is 106411. The reversal of 106404 is 404601.

It is an interprime number because it is at equal distance from previous prime (106397) and next prime (106411).

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×106404² = 22643622432, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106404.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4422 + ... + 4445.

It is an arithmetic number, because the mean of its divisors is an integer number (20692).

2¹⁰⁶⁴⁰⁴ is an apocalyptic number.

It is an amenable number.

106404 is an abundant number, since it is smaller than the sum of its proper divisors (141900).

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

106404 is a wasteful number, since it uses less digits than its factorization.

106404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8874 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 106404 is about 326.1962599418. The cubic root of 106404 is about 47.3862838413.

It can be divided in two parts, 106 and 404, that multiplied together give a palindrome (42824).

The spelling of 106404 in words is "one hundred six thousand, four hundred four".