105081377289 has 16 divisors (see below), whose sum is σ = 160962355200. Its totient is φ = 59732119440.

The previous prime is 105081377267. The next prime is 105081377293. The reversal of 105081377289 is 982773180501.

It is not a de Polignac number, because 105081377289 - 2¹¹ = 105081375241 is a prime.

It is a super-2 number, since 2×105081377289² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105081377299) 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, 13095139 + ... + 13103160.

It is an arithmetic number, because the mean of its divisors is an integer number (10060147200).

Almost surely, 2^105081377289 is an apocalyptic number.

It is an amenable number.

105081377289 is a deficient number, since it is larger than the sum of its proper divisors (55880977911).

105081377289 is a wasteful number, since it uses less digits than its factorization.

105081377289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26198500.

The product of its (nonzero) digits is 846720, while the sum is 51.

The spelling of 105081377289 in words is "one hundred five billion, eighty-one million, three hundred seventy-seven thousand, two hundred eighty-nine".