105735352 has 8 divisors (see below), whose sum is σ = 198253800. Its totient is φ = 52867672.

The previous prime is 105735349. The next prime is 105735353. The reversal of 105735352 is 253537501.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105735352² = 22359929325127808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105735353) by changing a digit.

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 as a sum of consecutive naturals, namely, 6608452 + ... + 6608467.

It is an arithmetic number, because the mean of its divisors is an integer number (24781725).

Almost surely, 2^105735352 is an apocalyptic number.

It is an amenable number.

105735352 is a deficient number, since it is larger than the sum of its proper divisors (92518448).

105735352 is a wasteful number, since it uses less digits than its factorization.

105735352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13216925 (or 13216921 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 31.

The square root of 105735352 is about 10282.7696658050. The cubic root of 105735352 is about 472.8681594508.

The spelling of 105735352 in words is "one hundred five million, seven hundred thirty-five thousand, three hundred fifty-two".