105729312 has 48 divisors (see below), whose sum is σ = 298892160. Its totient is φ = 32531712.

The previous prime is 105729311. The next prime is 105729317. The reversal of 105729312 is 213927501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105729312² = 22357374831986688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105729312.

It is not an unprimeable number, because it can be changed into a prime (105729311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41112 + ... + 43607.

It is an arithmetic number, because the mean of its divisors is an integer number (6226920).

Almost surely, 2^105729312 is an apocalyptic number.

105729312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105729312 is an abundant number, since it is smaller than the sum of its proper divisors (193162848).

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

105729312 is a wasteful number, since it uses less digits than its factorization.

105729312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84745 (or 84737 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 105729312 is about 10282.4759664198. The cubic root of 105729312 is about 472.8591552783.

The spelling of 105729312 in words is "one hundred five million, seven hundred twenty-nine thousand, three hundred twelve".