105436632 has 48 divisors (see below), whose sum is σ = 306630360. Its totient is φ = 30124416.

The previous prime is 105436631. The next prime is 105436679. The reversal of 105436632 is 236634501.

It is a super-2 number, since 2×105436632² = 22233766735006848, 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 105436632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105436631) 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 in 11 ways as a sum of consecutive naturals, for example, 43653 + ... + 46004.

Almost surely, 2^105436632 is an apocalyptic number.

105436632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105436632 is an abundant number, since it is smaller than the sum of its proper divisors (201193728).

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

105436632 is a wasteful number, since it uses less digits than its factorization.

105436632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89680 (or 89669 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 105436632 is about 10268.2341227691. The cubic root of 105436632 is about 472.4224289667.

The spelling of 105436632 in words is "one hundred five million, four hundred thirty-six thousand, six hundred thirty-two".