105081319 has 16 divisors (see below), whose sum is σ = 128378880. Its totient is φ = 84047040.

The previous prime is 105081313. The next prime is 105081337. The reversal of 105081319 is 913180501.

It is not a de Polignac number, because 105081319 - 2⁵ = 105081287 is a prime.

It is a super-2 number, since 2×105081319² = 22084167205559522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105081313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359 + ... + 14560.

It is an arithmetic number, because the mean of its divisors is an integer number (8023680).

Almost surely, 2^105081319 is an apocalyptic number.

105081319 is a deficient number, since it is larger than the sum of its proper divisors (23297561).

105081319 is a wasteful number, since it uses less digits than its factorization.

105081319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15990.

The product of its (nonzero) digits is 1080, while the sum is 28.

The square root of 105081319 is about 10250.9179588952. The cubic root of 105081319 is about 471.8911564955.

It can be divided in two parts, 1050 and 81319, that added together give a square (82369 = 287²).

The spelling of 105081319 in words is "one hundred five million, eighty-one thousand, three hundred nineteen".