105536132 has 48 divisors (see below), whose sum is σ = 207446400. Its totient is φ = 46659840.

The previous prime is 105536131. The next prime is 105536141. The reversal of 105536132 is 231635501.

It is a super-2 number, since 2×105536132² = 22275750315042848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (105536131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 125369 + ... + 126207.

It is an arithmetic number, because the mean of its divisors is an integer number (4321800).

Almost surely, 2^105536132 is an apocalyptic number.

It is an amenable number.

105536132 is a deficient number, since it is larger than the sum of its proper divisors (101910268).

105536132 is a wasteful number, since it uses less digits than its factorization.

105536132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 105536132 is about 10273.0780197563. The cubic root of 105536132 is about 472.5709897723.

The spelling of 105536132 in words is "one hundred five million, five hundred thirty-six thousand, one hundred thirty-two".