106408 has 16 divisors (see below), whose sum is σ = 204480. Its totient is φ = 51888.

The previous prime is 106397. The next prime is 106411. The reversal of 106408 is 804601.

It is a super-2 number, since 2×106408² = 22645324928, which contains 22 as substring.

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, 235 + ... + 517.

It is an arithmetic number, because the mean of its divisors is an integer number (12780).

2¹⁰⁶⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

106408 is a deficient number, since it is larger than the sum of its proper divisors (98072).

106408 is a wasteful number, since it uses less digits than its factorization.

106408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 106408 is about 326.2023911623. The cubic root of 106408 is about 47.3868776247.

It can be divided in two parts, 10640 and 8, that added together give a cube (10648 = 22³).

The spelling of 106408 in words is "one hundred six thousand, four hundred eight".