105705106 has 12 divisors (see below), whose sum is σ = 171693162. Its totient is φ = 48786816.

The previous prime is 105705097. The next prime is 105705109. The reversal of 105705106 is 601507501.

It can be written as a sum of positive squares in 3 ways, for example, as 88190881 + 17514225 = 9391^2 + 4185^2 .

It is a super-2 number, since 2×105705106² = 22347138868942472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105705109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 156031 + ... + 156706.

Almost surely, 2^105705106 is an apocalyptic number.

105705106 is a deficient number, since it is larger than the sum of its proper divisors (65988056).

105705106 is a wasteful number, since it uses less digits than its factorization.

105705106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312765 (or 312752 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 105705106 is about 10281.2988479083. The cubic root of 105705106 is about 472.8230665718.

The spelling of 105705106 in words is "one hundred five million, seven hundred five thousand, one hundred six".