105022313211 has 32 divisors (see below), whose sum is σ = 151310621440. Its totient is φ = 64579866624.

The previous prime is 105022313141. The next prime is 105022313239. The reversal of 105022313211 is 112313220501.

It is not a de Polignac number, because 105022313211 - 2¹³ = 105022305019 is a prime.

It is a super-2 number, since 2×105022313211² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105022333211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698715 + ... + 835611.

It is an arithmetic number, because the mean of its divisors is an integer number (4728456920).

Almost surely, 2^105022313211 is an apocalyptic number.

105022313211 is a deficient number, since it is larger than the sum of its proper divisors (46288308229).

105022313211 is a wasteful number, since it uses less digits than its factorization.

105022313211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137275.

The product of its (nonzero) digits is 360, while the sum is 21.

Adding to 105022313211 its reverse (112313220501), we get a palindrome (217335533712).

The spelling of 105022313211 in words is "one hundred five billion, twenty-two million, three hundred thirteen thousand, two hundred eleven".