111663416703105 has 128 divisors (see below), whose sum is σ = 207467671219200. Its totient is φ = 56926291968000.

The previous prime is 111663416703089. The next prime is 111663416703119. The reversal of 111663416703105 is 501307614366111.

111663416703105 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 63 + 416 + 70 + 3 + 105 = 666.

It is not a de Polignac number, because 111663416703105 - 2⁴ = 111663416703089 is a prime.

It is a super-2 number, since 2×111663416703105² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 255420705 + ... + 255857505.

It is an arithmetic number, because the mean of its divisors is an integer number (1620841181400).

Almost surely, 2^{111663416703105} is an apocalyptic number.

111663416703105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111663416703105 is a deficient number, since it is larger than the sum of its proper divisors (95804254516095).

111663416703105 is a wasteful number, since it uses less digits than its factorization.

111663416703105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437752 (or 437746 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 111663416703105 in words is "one hundred eleven trillion, six hundred sixty-three billion, four hundred sixteen million, seven hundred three thousand, one hundred five".