105983961 has 8 divisors (see below), whose sum is σ = 141444480. Its totient is φ = 70589712.

The previous prime is 105983953. The next prime is 105983963. The reversal of 105983961 is 169389501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105983961 - 2³ = 105983953 is a prime.

It is a super-2 number, since 2×105983961² = 22465199978499042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105983963) 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, 12706 + ... + 19323.

It is an arithmetic number, because the mean of its divisors is an integer number (17680560).

Almost surely, 2^105983961 is an apocalyptic number.

It is an amenable number.

105983961 is a deficient number, since it is larger than the sum of its proper divisors (35460519).

105983961 is a wasteful number, since it uses less digits than its factorization.

105983961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33135.

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 105983961 is about 10294.8511888225. The cubic root of 105983961 is about 473.2384779286.

The spelling of 105983961 in words is "one hundred five million, nine hundred eighty-three thousand, nine hundred sixty-one".