105829752 has 32 divisors (see below), whose sum is σ = 302371200. Its totient is φ = 30237024.

The previous prime is 105829727. The next prime is 105829769. The reversal of 105829752 is 257928501.

It is a super-2 number, since 2×105829752² = 22399872816763008, 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 105829752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314802 + ... + 315137.

It is an arithmetic number, because the mean of its divisors is an integer number (9449100).

Almost surely, 2^105829752 is an apocalyptic number.

105829752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105829752 is an abundant number, since it is smaller than the sum of its proper divisors (196541448).

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

105829752 is a wasteful number, since it uses less digits than its factorization.

105829752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629955 (or 629951 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 105829752 is about 10287.3588447181. The cubic root of 105829752 is about 473.0088423778.

The spelling of 105829752 in words is "one hundred five million, eight hundred twenty-nine thousand, seven hundred fifty-two".