105983977 has 8 divisors (see below), whose sum is σ = 120646080. Its totient is φ = 92159760.

The previous prime is 105983963. The next prime is 105983981. The reversal of 105983977 is 779389501.

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

It is not a de Polignac number, because 105983977 - 2²³ = 97595369 is a prime.

It is a super-2 number, since 2×105983977² = 22465206761473058, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105983977.

It is not an unprimeable number, because it can be changed into a prime (105983987) 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, 209202 + ... + 209707.

It is an arithmetic number, because the mean of its divisors is an integer number (15080760).

Almost surely, 2^105983977 is an apocalyptic number.

It is an amenable number.

105983977 is a deficient number, since it is larger than the sum of its proper divisors (14662103).

105983977 is a wasteful number, since it uses less digits than its factorization.

105983977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418943.

The product of its (nonzero) digits is 476280, while the sum is 49.

The square root of 105983977 is about 10294.8519659100. The cubic root of 105983977 is about 473.2385017429.

The spelling of 105983977 in words is "one hundred five million, nine hundred eighty-three thousand, nine hundred seventy-seven".