105273080913 has 128 divisors (see below), whose sum is σ = 193098608640. Its totient is φ = 49251409920.

The previous prime is 105273080897. The next prime is 105273080923. The reversal of 105273080913 is 319080372501.

It is not a de Polignac number, because 105273080913 - 2⁴ = 105273080897 is a prime.

It is a super-2 number, since 2×105273080913² (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 not an unprimeable number, because it can be changed into a prime (105273080923) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24271081 + ... + 24275417.

It is an arithmetic number, because the mean of its divisors is an integer number (1508582880).

Almost surely, 2^105273080913 is an apocalyptic number.

105273080913 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105273080913 is a deficient number, since it is larger than the sum of its proper divisors (87825527727).

105273080913 is a wasteful number, since it uses less digits than its factorization.

105273080913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4567.

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 105273080913 in words is "one hundred five billion, two hundred seventy-three million, eighty thousand, nine hundred thirteen".