112540105206 has 48 divisors (see below), whose sum is σ = 246836706480. Its totient is φ = 37052087040.

The previous prime is 112540105201. The next prime is 112540105241. The reversal of 112540105206 is 602501045211.

112540105206 is a `hidden beast` number, since 1 + 12 + 540 + 105 + 2 + 0 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112540105206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112540105201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8492746 + ... + 8505986.

It is an arithmetic number, because the mean of its divisors is an integer number (5142431385).

Almost surely, 2^112540105206 is an apocalyptic number.

112540105206 is an abundant number, since it is smaller than the sum of its proper divisors (134296601274).

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

112540105206 is a wasteful number, since it uses less digits than its factorization.

112540105206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19021 (or 19018 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 112540105206 in words is "one hundred twelve billion, five hundred forty million, one hundred five thousand, two hundred six".