105011515025 has 12 divisors (see below), whose sum is σ = 134704427100. Its totient is φ = 81112342080.

The previous prime is 105011515019. The next prime is 105011515027. The reversal of 105011515025 is 520515110501.

It can be written as a sum of positive squares in 6 ways, for example, as 1784893504 + 103226621521 = 42248^2 + 321289^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105011515025 is a prime.

It is a super-2 number, since 2×105011515025² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105011514985 and 105011515003.

It is not an unprimeable number, because it can be changed into a prime (105011515027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72421010 + ... + 72422459.

It is an arithmetic number, because the mean of its divisors is an integer number (11225368925).

Almost surely, 2^105011515025 is an apocalyptic number.

It is an amenable number.

105011515025 is a deficient number, since it is larger than the sum of its proper divisors (29692912075).

105011515025 is a wasteful number, since it uses less digits than its factorization.

105011515025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144843508 (or 144843503 counting only the distinct ones).

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

Adding to 105011515025 its reverse (520515110501), we get a palindrome (625526625526).

The spelling of 105011515025 in words is "one hundred five billion, eleven million, five hundred fifteen thousand, twenty-five".