111105668520 has 1920 divisors, whose sum is σ = 523790530560. Its totient is φ = 20473896960.

The previous prime is 111105668501. The next prime is 111105668539. The reversal of 111105668520 is 25866501111.

111105668520 is a `hidden beast` number, since 1 + 1 + 1 + 10 + 566 + 85 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (111105668501) and next prime (111105668539).

It is a super-2 number, since 2×111105668520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1658293527 + ... + 1658293593.

It is an arithmetic number, because the mean of its divisors is an integer number (272807568).

Almost surely, 2^111105668520 is an apocalyptic number.

111105668520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111105668520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261895265280).

111105668520 is an abundant number, since it is smaller than the sum of its proper divisors (412684862040).

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

111105668520 is a wasteful number, since it uses less digits than its factorization.

111105668520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 111105668520 in words is "one hundred eleven billion, one hundred five million, six hundred sixty-eight thousand, five hundred twenty".