105729114 has 24 divisors (see below), whose sum is σ = 221058432. Its totient is φ = 33709720.

The previous prime is 105729077. The next prime is 105729163. The reversal of 105729114 is 411927501.

It is a super-2 number, since 2×105729114² = 22357291094449992, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13482 + ... + 19829.

It is an arithmetic number, because the mean of its divisors is an integer number (9210768).

Almost surely, 2^105729114 is an apocalyptic number.

105729114 is an abundant number, since it is smaller than the sum of its proper divisors (115329318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105729114 is a wasteful number, since it uses less digits than its factorization.

105729114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33362 (or 33339 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 105729114 is about 10282.4663383840. The cubic root of 105729114 is about 472.8588601026.

The spelling of 105729114 in words is "one hundred five million, seven hundred twenty-nine thousand, one hundred fourteen".