105370772311 has 16 divisors (see below), whose sum is σ = 124375958784. Its totient is φ = 87392902464.

The previous prime is 105370772267. The next prime is 105370772327. The reversal of 105370772311 is 113277073501.

It is not a de Polignac number, because 105370772311 - 2⁹ = 105370771799 is a prime.

It is a super-2 number, since 2×105370772311² (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 (105370770311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1603630 + ... + 1668043.

It is an arithmetic number, because the mean of its divisors is an integer number (7773497424).

Almost surely, 2^105370772311 is an apocalyptic number.

105370772311 is a deficient number, since it is larger than the sum of its proper divisors (19005186473).

105370772311 is a wasteful number, since it uses less digits than its factorization.

105370772311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271830.

The product of its (nonzero) digits is 30870, while the sum is 37.

The spelling of 105370772311 in words is "one hundred five billion, three hundred seventy million, seven hundred seventy-two thousand, three hundred eleven".