105354320215311 has 24 divisors (see below), whose sum is σ = 158895996794496. Its totient is φ = 67139700716880.

The previous prime is 105354320215279. The next prime is 105354320215351. The reversal of 105354320215311 is 113512023453501.

It is a happy number.

105354320215311 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 4 + 320 + 2 + 15 + 311 = 666.

It is not a de Polignac number, because 105354320215311 - 2⁵ = 105354320215279 is a prime.

It is a super-2 number, since 2×105354320215311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105354320215351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161660185 + ... + 162310578.

It is an arithmetic number, because the mean of its divisors is an integer number (6620666533104).

Almost surely, 2^{105354320215311} is an apocalyptic number.

105354320215311 is a deficient number, since it is larger than the sum of its proper divisors (53541676579185).

105354320215311 is a wasteful number, since it uses less digits than its factorization.

105354320215311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323972363 (or 323972360 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 105354320215311 its reverse (113512023453501), we get a palindrome (218866343668812).

The spelling of 105354320215311 in words is "one hundred five trillion, three hundred fifty-four billion, three hundred twenty million, two hundred fifteen thousand, three hundred eleven".