105329116 has 12 divisors (see below), whose sum is σ = 184411080. Its totient is φ = 52640240.

The previous prime is 105329113. The next prime is 105329117. The reversal of 105329116 is 611923501.

It is a super-2 number, since 2×105329116² = 22188445354682912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105329111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6606 + ... + 15946.

It is an arithmetic number, because the mean of its divisors is an integer number (15367590).

Almost surely, 2^105329116 is an apocalyptic number.

It is an amenable number.

105329116 is a deficient number, since it is larger than the sum of its proper divisors (79081964).

105329116 is a wasteful number, since it uses less digits than its factorization.

105329116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12164 (or 12162 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 105329116 is about 10262.9974179087. The cubic root of 105329116 is about 472.2617945851.

The spelling of 105329116 in words is "one hundred five million, three hundred twenty-nine thousand, one hundred sixteen".