105852352 has 28 divisors (see below), whose sum is σ = 216830656. Its totient is φ = 51217920.

The previous prime is 105852347. The next prime is 105852361. The reversal of 105852352 is 253258501.

It is a super-2 number, since 2×105852352² = 22409440847863808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 24693 + ... + 28660.

It is an arithmetic number, because the mean of its divisors is an integer number (7743952).

Almost surely, 2^105852352 is an apocalyptic number.

It is an amenable number.

105852352 is an abundant number, since it is smaller than the sum of its proper divisors (110978304).

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

105852352 is an equidigital number, since it uses as much as digits as its factorization.

105852352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53396 (or 53386 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 105852352 is about 10288.4572215663. The cubic root of 105852352 is about 473.0425104116.

The spelling of 105852352 in words is "one hundred five million, eight hundred fifty-two thousand, three hundred fifty-two".