105005113310223 has 72 divisors (see below), whose sum is σ = 183929844833280. Its totient is φ = 59688769175280.

The previous prime is 105005113310221. The next prime is 105005113310233. The reversal of 105005113310223 is 322013311500501.

105005113310223 is a `hidden beast` number, since 1 + 0 + 500 + 5 + 1 + 1 + 33 + 102 + 23 = 666.

It is not a de Polignac number, because 105005113310223 - 2¹ = 105005113310221 is a prime.

It is a super-2 number, since 2×105005113310223² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005113310221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20811553 + ... + 25360026.

It is an arithmetic number, because the mean of its divisors is an integer number (2554581178240).

Almost surely, 2^{105005113310223} is an apocalyptic number.

105005113310223 is a deficient number, since it is larger than the sum of its proper divisors (78924731523057).

105005113310223 is an equidigital number, since it uses as much as digits as its factorization.

105005113310223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46171799 (or 46171780 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 105005113310223 its reverse (322013311500501), we get a palindrome (427018424810724).

The spelling of 105005113310223 in words is "one hundred five trillion, five billion, one hundred thirteen million, three hundred ten thousand, two hundred twenty-three".