105165270425 has 12 divisors (see below), whose sum is σ = 130431523500. Its totient is φ = 84115062720.

The previous prime is 105165270347. The next prime is 105165270437. The reversal of 105165270425 is 524072561501.

It can be written as a sum of positive squares in 6 ways, for example, as 28504921 + 105136765504 = 5339^2 + 324248^2 .

It is not a de Polignac number, because 105165270425 - 2⁸ = 105165270169 is a prime.

It is a super-2 number, since 2×105165270425² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

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, 303050 + ... + 549699.

It is an arithmetic number, because the mean of its divisors is an integer number (10869293625).

Almost surely, 2^105165270425 is an apocalyptic number.

It is an amenable number.

105165270425 is a deficient number, since it is larger than the sum of its proper divisors (25266253075).

105165270425 is an equidigital number, since it uses as much as digits as its factorization.

105165270425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857692 (or 857687 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 38.

The spelling of 105165270425 in words is "one hundred five billion, one hundred sixty-five million, two hundred seventy thousand, four hundred twenty-five".