105365532 has 24 divisors (see below), whose sum is σ = 247145472. Its totient is φ = 34937200.

The previous prime is 105365521. The next prime is 105365549. The reversal of 105365532 is 235563501.

It is a super-2 number, since 2×105365532² = 22203790667286048, 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 105365532.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20694 + ... + 25277.

It is an arithmetic number, because the mean of its divisors is an integer number (10297728).

Almost surely, 2^105365532 is an apocalyptic number.

105365532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105365532 is an abundant number, since it is smaller than the sum of its proper divisors (141779940).

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

105365532 is a wasteful number, since it uses less digits than its factorization.

105365532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46169 (or 46167 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 105365532 is about 10264.7714051507. The cubic root of 105365532 is about 472.3162141814.

The spelling of 105365532 in words is "one hundred five million, three hundred sixty-five thousand, five hundred thirty-two".