105711943949 has 16 divisors (see below), whose sum is σ = 107995348224. Its totient is φ = 103451712000.

The previous prime is 105711943921. The next prime is 105711943969. The reversal of 105711943949 is 949349117501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105711943949 is a prime.

It is a super-2 number, since 2×105711943949² (a number of 23 digits) 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 105711943949.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105711943969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17289917 + ... + 17296029.

It is an arithmetic number, because the mean of its divisors is an integer number (6749709264).

Almost surely, 2^105711943949 is an apocalyptic number.

It is an amenable number.

105711943949 is a deficient number, since it is larger than the sum of its proper divisors (2283404275).

105711943949 is a wasteful number, since it uses less digits than its factorization.

105711943949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7948.

The product of its (nonzero) digits is 1224720, while the sum is 53.

The spelling of 105711943949 in words is "one hundred five billion, seven hundred eleven million, nine hundred forty-three thousand, nine hundred forty-nine".