105125610513 has 16 divisors (see below), whose sum is σ = 174754262016. Its totient is φ = 54610706640.

The previous prime is 105125610503. The next prime is 105125610523. The reversal of 105125610513 is 315016521501.

It is an interprime number because it is at equal distance from previous prime (105125610503) and next prime (105125610523).

It is not a de Polignac number, because 105125610513 - 2⁸ = 105125610257 is a prime.

It is a super-2 number, since 2×105125610513² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105125610503) 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 15 ways as a sum of consecutive naturals, for example, 227544381 + ... + 227544842.

It is an arithmetic number, because the mean of its divisors is an integer number (10922141376).

Almost surely, 2^105125610513 is an apocalyptic number.

It is an amenable number.

105125610513 is a deficient number, since it is larger than the sum of its proper divisors (69628651503).

105125610513 is a wasteful number, since it uses less digits than its factorization.

105125610513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455089244.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105125610513 in words is "one hundred five billion, one hundred twenty-five million, six hundred ten thousand, five hundred thirteen".