105636140 has 24 divisors (see below), whose sum is σ = 225475152. Its totient is φ = 41561280.

The previous prime is 105636133. The next prime is 105636149. The reversal of 105636140 is 41636501.

It is a super-2 number, since 2×105636140² = 22317988148199200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105636149) 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 7 ways as a sum of consecutive naturals, for example, 42074 + ... + 44513.

It is an arithmetic number, because the mean of its divisors is an integer number (9394798).

Almost surely, 2^105636140 is an apocalyptic number.

105636140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105636140 is an abundant number, since it is smaller than the sum of its proper divisors (119839012).

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

105636140 is a wasteful number, since it uses less digits than its factorization.

105636140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86657 (or 86655 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 105636140 is about 10277.9443469986. The cubic root of 105636140 is about 472.7202149968.

The spelling of 105636140 in words is "one hundred five million, six hundred thirty-six thousand, one hundred forty".