105950966 has 32 divisors (see below), whose sum is σ = 176964480. Its totient is φ = 47174400.

The previous prime is 105950951. The next prime is 105950969. The reversal of 105950966 is 669059501.

It is a super-2 number, since 2×105950966² = 22451214392666312, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105950969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279365 + ... + 279743.

It is an arithmetic number, because the mean of its divisors is an integer number (5530140).

Almost surely, 2^105950966 is an apocalyptic number.

105950966 is a deficient number, since it is larger than the sum of its proper divisors (71013514).

105950966 is a wasteful number, since it uses less digits than its factorization.

105950966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620.

The product of its (nonzero) digits is 72900, while the sum is 41.

The square root of 105950966 is about 10293.2485639860. The cubic root of 105950966 is about 473.1893631881.

It can be divided in two parts, 1059 and 50966, that added together give a palindrome (52025).

The spelling of 105950966 in words is "one hundred five million, nine hundred fifty thousand, nine hundred sixty-six".