105260814165 has 32 divisors (see below), whose sum is σ = 181396252800. Its totient is φ = 51813916416.

The previous prime is 105260814157. The next prime is 105260814181. The reversal of 105260814165 is 561418062501.

It is not a de Polignac number, because 105260814165 - 2³ = 105260814157 is a prime.

It is a super-2 number, since 2×105260814165² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665279 + ... + 1727331.

It is an arithmetic number, because the mean of its divisors is an integer number (5668632900).

Almost surely, 2^105260814165 is an apocalyptic number.

105260814165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105260814165 is a deficient number, since it is larger than the sum of its proper divisors (76135438635).

105260814165 is a wasteful number, since it uses less digits than its factorization.

105260814165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70773.

The product of its (nonzero) digits is 57600, while the sum is 39.

Adding to 105260814165 its reverse (561418062501), we get a palindrome (666678876666).

The spelling of 105260814165 in words is "one hundred five billion, two hundred sixty million, eight hundred fourteen thousand, one hundred sixty-five".