105425061345 has 24 divisors (see below), whose sum is σ = 182933548200. Its totient is φ = 56166153216.

The previous prime is 105425061331. The next prime is 105425061367. The reversal of 105425061345 is 543160524501.

105425061345 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 250 + 61 + 345 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11047691664 + 94377369681 = 105108^2 + 307209^2 .

It is not a de Polignac number, because 105425061345 - 2⁸ = 105425061089 is a prime.

It is a super-2 number, since 2×105425061345² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219110 + ... + 1302719.

It is an arithmetic number, because the mean of its divisors is an integer number (7622231175).

Almost surely, 2^105425061345 is an apocalyptic number.

105425061345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105425061345 is a deficient number, since it is larger than the sum of its proper divisors (77508486855).

105425061345 is a wasteful number, since it uses less digits than its factorization.

105425061345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522769 (or 2522766 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 105425061345 its reverse (543160524501), we get a palindrome (648585585846).

The spelling of 105425061345 in words is "one hundred five billion, four hundred twenty-five million, sixty-one thousand, three hundred forty-five".