105329919 has 16 divisors (see below), whose sum is σ = 144144000. Its totient is φ = 68378016.

The previous prime is 105329911. The next prime is 105329923. The reversal of 105329919 is 919923501.

It is not a de Polignac number, because 105329919 - 2³ = 105329911 is a prime.

It is a super-2 number, since 2×105329919² = 22188783673093122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105329911) 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, 49132 + ... + 51230.

It is an arithmetic number, because the mean of its divisors is an integer number (9009000).

Almost surely, 2^105329919 is an apocalyptic number.

105329919 is a deficient number, since it is larger than the sum of its proper divisors (38814081).

105329919 is a wasteful number, since it uses less digits than its factorization.

105329919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534.

The product of its (nonzero) digits is 21870, while the sum is 39.

The square root of 105329919 is about 10263.0365389586. The cubic root of 105329919 is about 472.2629947130.

The spelling of 105329919 in words is "one hundred five million, three hundred twenty-nine thousand, nine hundred nineteen".