105423345601 has 12 divisors (see below), whose sum is σ = 123849537300. Its totient is φ = 89468181600.

The previous prime is 105423345569. The next prime is 105423345617. The reversal of 105423345601 is 106543324501.

It can be written as a sum of positive squares in 2 ways, for example, as 53905694976 + 51517650625 = 232176^2 + 226975^2 .

It is not a de Polignac number, because 105423345601 - 2⁵ = 105423345569 is a prime.

It is a super-2 number, since 2×105423345601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105423345661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10646026 + ... + 10655923.

It is an arithmetic number, because the mean of its divisors is an integer number (10320794775).

Almost surely, 2^105423345601 is an apocalyptic number.

It is an amenable number.

105423345601 is a deficient number, since it is larger than the sum of its proper divisors (18426191699).

105423345601 is a wasteful number, since it uses less digits than its factorization.

105423345601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21302064 (or 21302057 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 105423345601 in words is "one hundred five billion, four hundred twenty-three million, three hundred forty-five thousand, six hundred one".