105040210311 has 48 divisors (see below), whose sum is σ = 163253895168. Its totient is φ = 64951761600.

The previous prime is 105040210211. The next prime is 105040210357. The reversal of 105040210311 is 113012040501.

105040210311 is a `hidden beast` number, since 105 + 0 + 40 + 210 + 311 = 666.

It is not a de Polignac number, because 105040210311 - 2¹³ = 105040202119 is a prime.

It is a super-2 number, since 2×105040210311² (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 (105040210211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 615706 + ... + 767576.

It is an arithmetic number, because the mean of its divisors is an integer number (3401122816).

Almost surely, 2^105040210311 is an apocalyptic number.

105040210311 is a deficient number, since it is larger than the sum of its proper divisors (58213684857).

105040210311 is a wasteful number, since it uses less digits than its factorization.

105040210311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152012 (or 152009 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 105040210311 its reverse (113012040501), we get a palindrome (218052250812).

The spelling of 105040210311 in words is "one hundred five billion, forty million, two hundred ten thousand, three hundred eleven".