105983956 has 18 divisors (see below), whose sum is σ = 200837742. Its totient is φ = 48915360.

The previous prime is 105983953. The next prime is 105983963. The reversal of 105983956 is 659389501.

It can be written as a sum of positive squares in 3 ways, for example, as 99856 + 105884100 = 316^2 + 10290^2 .

It is a super-2 number, since 2×105983956² = 22465197858819872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105983953) 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, 77715 + ... + 79066.

Almost surely, 2^105983956 is an apocalyptic number.

It is an amenable number.

105983956 is a deficient number, since it is larger than the sum of its proper divisors (94853786).

105983956 is a wasteful number, since it uses less digits than its factorization.

105983956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156811 (or 156796 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 46.

The square root of 105983956 is about 10294.8509459827. The cubic root of 105983956 is about 473.2384704866.

The spelling of 105983956 in words is "one hundred five million, nine hundred eighty-three thousand, nine hundred fifty-six".