105444377283 has 72 divisors (see below), whose sum is σ = 168155564112. Its totient is φ = 58599816576.

The previous prime is 105444377281. The next prime is 105444377317. The reversal of 105444377283 is 382773444501.

It is a Cunningham number, because it is equal to 324722²-1.

It is not a de Polignac number, because 105444377283 - 2¹ = 105444377281 is a prime.

It is a super-2 number, since 2×105444377283² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105444377281) 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 71 ways as a sum of consecutive naturals, for example, 56176141 + ... + 56178017.

It is an arithmetic number, because the mean of its divisors is an integer number (2335493946).

Almost surely, 2^105444377283 is an apocalyptic number.

105444377283 is a deficient number, since it is larger than the sum of its proper divisors (62711186829).

105444377283 is a wasteful number, since it uses less digits than its factorization.

105444377283 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 105444377283 in words is "one hundred five billion, four hundred forty-four million, three hundred seventy-seven thousand, two hundred eighty-three".