105396352 has 32 divisors (see below), whose sum is σ = 210818700. Its totient is φ = 52485120.

The previous prime is 105396341. The next prime is 105396359. The reversal of 105396352 is 253693501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 105349696 + 46656 = 10264^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105396352² = 22216782029815808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105396359) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32902 + ... + 35962.

Almost surely, 2^105396352 is an apocalyptic number.

It is an amenable number.

105396352 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

105396352 is an equidigital number, since it uses as much as digits as its factorization.

105396352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 34.

The square root of 105396352 is about 10266.2725465477. The cubic root of 105396352 is about 472.3622613923.

The spelling of 105396352 in words is "one hundred five million, three hundred ninety-six thousand, three hundred fifty-two".