105272943625 has 16 divisors (see below), whose sum is σ = 132140086416. Its totient is φ = 83731526400.

The previous prime is 105272943623. The next prime is 105272943631. The reversal of 105272943625 is 526349272501.

It can be written as a sum of positive squares in 8 ways, for example, as 9304338681 + 95968604944 = 96459^2 + 309788^2 .

It is not a de Polignac number, because 105272943625 - 2¹ = 105272943623 is a prime.

It is a super-2 number, since 2×105272943625² (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 (105272943623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2412432 + ... + 2455681.

It is an arithmetic number, because the mean of its divisors is an integer number (8258755401).

Almost surely, 2^105272943625 is an apocalyptic number.

It is an amenable number.

105272943625 is a deficient number, since it is larger than the sum of its proper divisors (26867142791).

105272943625 is an equidigital number, since it uses as much as digits as its factorization.

105272943625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868301 (or 4868291 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 105272943625 in words is "one hundred five billion, two hundred seventy-two million, nine hundred forty-three thousand, six hundred twenty-five".