105013355205 has 64 divisors (see below), whose sum is σ = 193066675200. Its totient is φ = 48204933120.

The previous prime is 105013355177. The next prime is 105013355207. The reversal of 105013355205 is 502553310501.

It is not a de Polignac number, because 105013355205 - 2⁶ = 105013355141 is a prime.

It is a super-2 number, since 2×105013355205² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105013355207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5310226 + ... + 5329964.

It is an arithmetic number, because the mean of its divisors is an integer number (3016666800).

Almost surely, 2^105013355205 is an apocalyptic number.

105013355205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105013355205 is a deficient number, since it is larger than the sum of its proper divisors (88053319995).

105013355205 is a wasteful number, since it uses less digits than its factorization.

105013355205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21474.

The product of its (nonzero) digits is 11250, while the sum is 30.

Adding to 105013355205 its reverse (502553310501), we get a palindrome (607566665706).

The spelling of 105013355205 in words is "one hundred five billion, thirteen million, three hundred fifty-five thousand, two hundred five".