105950968 has 32 divisors (see below), whose sum is σ = 204019200. Its totient is φ = 51555168.

The previous prime is 105950951. The next prime is 105950969. The reversal of 105950968 is 869059501.

It is a happy number.

It is a super-2 number, since 2×105950968² = 22451215240274048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

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 7 ways as a sum of consecutive naturals, for example, 164455 + ... + 165097.

It is an arithmetic number, because the mean of its divisors is an integer number (6375600).

Almost surely, 2^105950968 is an apocalyptic number.

It is an amenable number.

105950968 is a deficient number, since it is larger than the sum of its proper divisors (98068232).

105950968 is a wasteful number, since it uses less digits than its factorization.

105950968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 43.

The square root of 105950968 is about 10293.2486611371. The cubic root of 105950968 is about 473.1893661655.

The spelling of 105950968 in words is "one hundred five million, nine hundred fifty thousand, nine hundred sixty-eight".