105639852 has 24 divisors (see below), whose sum is σ = 246916096. Its totient is φ = 35152848.

The previous prime is 105639817. The next prime is 105639869. The reversal of 105639852 is 258936501.

It is a super-2 number, since 2×105639852² = 22319556661163808, 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 105639852.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33 + ... + 14535.

Almost surely, 2^105639852 is an apocalyptic number.

105639852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105639852 is an abundant number, since it is smaller than the sum of its proper divisors (141276244).

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

105639852 is a wasteful number, since it uses less digits than its factorization.

105639852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117 (or 15115 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 105639852 is about 10278.1249262694. The cubic root of 105639852 is about 472.7257519809.

It can be divided in two parts, 105639 and 852, that added together give a triangular number (106491 = T₄₆₁).

The spelling of 105639852 in words is "one hundred five million, six hundred thirty-nine thousand, eight hundred fifty-two".