105636852 has 48 divisors (see below), whose sum is σ = 275560320. Its totient is φ = 34995456.

The previous prime is 105636851. The next prime is 105636857. The reversal of 105636852 is 258636501.

105636852 is a `hidden beast` number, since 10 + 5 + 636 + 8 + 5 + 2 = 666.

It is a super-2 number, since 2×105636852² = 22318289000939808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105636851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15108 + ... + 20964.

It is an arithmetic number, because the mean of its divisors is an integer number (5740840).

Almost surely, 2^105636852 is an apocalyptic number.

105636852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105636852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137780160).

105636852 is an abundant number, since it is smaller than the sum of its proper divisors (169923468).

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

105636852 is a wasteful number, since it uses less digits than its factorization.

105636852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6029 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 105636852 is about 10277.9789842167. The cubic root of 105636852 is about 472.7212770577.

The spelling of 105636852 in words is "one hundred five million, six hundred thirty-six thousand, eight hundred fifty-two".