105706329 has 8 divisors (see below), whose sum is σ = 148359840. Its totient is φ = 66761856.

The previous prime is 105706283. The next prime is 105706331. The reversal of 105706329 is 923607501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105706329 - 2⁷ = 105706201 is a prime.

It is a super-2 number, since 2×105706329² = 22347655981312482, 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 105706329.

It is not an unprimeable number, because it can be changed into a prime (105706339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 927192 + ... + 927305.

It is an arithmetic number, because the mean of its divisors is an integer number (18544980).

Almost surely, 2^105706329 is an apocalyptic number.

105706329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105706329 is a deficient number, since it is larger than the sum of its proper divisors (42653511).

105706329 is a wasteful number, since it uses less digits than its factorization.

105706329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854519.

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 105706329 is about 10281.3583246573. The cubic root of 105706329 is about 472.8248900737.

The spelling of 105706329 in words is "one hundred five million, seven hundred six thousand, three hundred twenty-nine".