105906066 has 32 divisors (see below), whose sum is σ = 243440640. Its totient is φ = 30087696.

The previous prime is 105906049. The next prime is 105906089. The reversal of 105906066 is 660609501.

It is a super-2 number, since 2×105906066² = 22432189631192712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475 + ... + 14561.

It is an arithmetic number, because the mean of its divisors is an integer number (7607520).

Almost surely, 2^105906066 is an apocalyptic number.

105906066 is an abundant number, since it is smaller than the sum of its proper divisors (137534574).

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

105906066 is a wasteful number, since it uses less digits than its factorization.

105906066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14278.

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 105906066 is about 10291.0672915884. The cubic root of 105906066 is about 473.1225108658.

The spelling of 105906066 in words is "one hundred five million, nine hundred six thousand, sixty-six".