105829652 has 12 divisors (see below), whose sum is σ = 185376660. Its totient is φ = 52864896.

The previous prime is 105829631. The next prime is 105829663. The reversal of 105829652 is 256928501.

It can be written as a sum of positive squares in 2 ways, for example, as 3334276 + 102495376 = 1826^2 + 10124^2 .

It is a super-2 number, since 2×105829652² = 22399830484882208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 7493 + ... + 16364.

It is an arithmetic number, because the mean of its divisors is an integer number (15448055).

Almost surely, 2^105829652 is an apocalyptic number.

It is an amenable number.

105829652 is a deficient number, since it is larger than the sum of its proper divisors (79547008).

105829652 is a wasteful number, since it uses less digits than its factorization.

105829652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24970 (or 24968 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 38.

The square root of 105829652 is about 10287.3539843830. The cubic root of 105829652 is about 473.0086933936.

The spelling of 105829652 in words is "one hundred five million, eight hundred twenty-nine thousand, six hundred fifty-two".