105933906 has 96 divisors (see below), whose sum is σ = 267845760. Its totient is φ = 31177872.

The previous prime is 105933853. The next prime is 105933907. The reversal of 105933906 is 609339501.

It is a super-2 number, since 2×105933906² = 22443984880833672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105933907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4605811 + ... + 4605833.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^105933906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105933906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133922880).

105933906 is an abundant number, since it is smaller than the sum of its proper divisors (161911854).

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

105933906 is an frugal number, since it uses more digits than its factorization.

105933906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 105933906 is about 10292.4198320900. The cubic root of 105933906 is about 473.1639645087.

The spelling of 105933906 in words is "one hundred five million, nine hundred thirty-three thousand, nine hundred six".