105105115025 has 12 divisors (see below), whose sum is σ = 137996833932. Its totient is φ = 79137968640.

The previous prime is 105105115001. The next prime is 105105115033. The reversal of 105105115025 is 520511501501.

It can be written as a sum of positive squares in 6 ways, for example, as 9272149264 + 95832965761 = 96292^2 + 309569^2 .

It is not a de Polignac number, because 105105115025 - 2²² = 105100920721 is a prime.

It is a super-2 number, since 2×105105115025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105105114985 and 105105115003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123652652 + ... + 123653501.

It is an arithmetic number, because the mean of its divisors is an integer number (11499736161).

Almost surely, 2^105105115025 is an apocalyptic number.

It is an amenable number.

105105115025 is a deficient number, since it is larger than the sum of its proper divisors (32891718907).

105105115025 is a wasteful number, since it uses less digits than its factorization.

105105115025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247306180 (or 247306175 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 26.

Adding to 105105115025 its reverse (520511501501), we get a palindrome (625616616526).

The spelling of 105105115025 in words is "one hundred five billion, one hundred five million, one hundred fifteen thousand, twenty-five".