105977042941 has 16 divisors (see below), whose sum is σ = 133339409280. Its totient is φ = 81821897280.

The previous prime is 105977042933. The next prime is 105977042989. The reversal of 105977042941 is 149240779501.

It is a cyclic number.

It is not a de Polignac number, because 105977042941 - 2³ = 105977042933 is a prime.

It is a super-2 number, since 2×105977042941² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105977042921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6305026 + ... + 6321811.

It is an arithmetic number, because the mean of its divisors is an integer number (8333713080).

Almost surely, 2^105977042941 is an apocalyptic number.

105977042941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105977042941 is a deficient number, since it is larger than the sum of its proper divisors (27362366339).

105977042941 is a wasteful number, since it uses less digits than its factorization.

105977042941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12626964.

The product of its (nonzero) digits is 635040, while the sum is 49.

The spelling of 105977042941 in words is "one hundred five billion, nine hundred seventy-seven million, forty-two thousand, nine hundred forty-one".