105906 has 16 divisors (see below), whose sum is σ = 223200. Its totient is φ = 33408.

The previous prime is 105899. The next prime is 105907. The reversal of 105906 is 609501.

105906 = T₅₈ + T₅₉ + ... + T₉₃.

It is a super-2 number, since 2×105906² = 22432161672, 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 105906.

It is not an unprimeable number, because it can be changed into a prime (105907) by changing a digit.

105906 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (13950).

2¹⁰⁵⁹⁰⁶ is an apocalyptic number.

105906 is an abundant number, since it is smaller than the sum of its proper divisors (117294).

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

105906 is a wasteful number, since it uses less digits than its factorization.

105906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 105906 is about 325.4320205511. The cubic root of 105906 is about 47.3122412583.

The spelling of 105906 in words is "one hundred five thousand, nine hundred six".