105799542901 has 16 divisors (see below), whose sum is σ = 115500394800. Its totient is φ = 96327272448.

The previous prime is 105799542887. The next prime is 105799542913. The reversal of 105799542901 is 109245997501.

It can be written as a sum of positive squares in 8 ways, for example, as 703628676 + 105095914225 = 26526^2 + 324185^2 .

It is a cyclic number.

It is not a de Polignac number, because 105799542901 - 2⁹ = 105799542389 is a prime.

It is a super-2 number, since 2×105799542901² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105799542971) 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, 361425 + ... + 585001.

It is an arithmetic number, because the mean of its divisors is an integer number (7218774675).

Almost surely, 2^105799542901 is an apocalyptic number.

It is an amenable number.

105799542901 is a deficient number, since it is larger than the sum of its proper divisors (9700851899).

105799542901 is a wasteful number, since it uses less digits than its factorization.

105799542901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224088.

The product of its (nonzero) digits is 1020600, while the sum is 52.

The spelling of 105799542901 in words is "one hundred five billion, seven hundred ninety-nine million, five hundred forty-two thousand, nine hundred one".