111006105642 has 64 divisors (see below), whose sum is σ = 248144117760. Its totient is φ = 36783106992.

The previous prime is 111006105611. The next prime is 111006105673. The reversal of 111006105642 is 246501600111.

111006105642 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 0 + 6 + 10 + 5 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (111006105611) and next prime (111006105673).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6340633 + ... + 6358115.

It is an arithmetic number, because the mean of its divisors is an integer number (3877251840).

Almost surely, 2^111006105642 is an apocalyptic number.

111006105642 is an abundant number, since it is smaller than the sum of its proper divisors (137138012118).

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

111006105642 is a wasteful number, since it uses less digits than its factorization.

111006105642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18184 (or 18178 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 111006105642 its reverse (246501600111), we get a palindrome (357507705753).

The spelling of 111006105642 in words is "one hundred eleven billion, six million, one hundred five thousand, six hundred forty-two".