111968829 has 24 divisors (see below), whose sum is σ = 185552640. Its totient is φ = 63734688.

The previous prime is 111968821. The next prime is 111968837. The reversal of 111968829 is 928869111.

It is an interprime number because it is at equal distance from previous prime (111968821) and next prime (111968837).

It is not a de Polignac number, because 111968829 - 2³ = 111968821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111968821) 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 23 ways as a sum of consecutive naturals, for example, 13644 + ... + 20250.

It is an arithmetic number, because the mean of its divisors is an integer number (7731360).

Almost surely, 2^111968829 is an apocalyptic number.

It is an amenable number.

111968829 is a deficient number, since it is larger than the sum of its proper divisors (73583811).

111968829 is a wasteful number, since it uses less digits than its factorization.

111968829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6889 (or 6886 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 111968829 is about 10581.5324504535. The cubic root of 111968829 is about 481.9837305046.

The spelling of 111968829 in words is "one hundred eleven million, nine hundred sixty-eight thousand, eight hundred twenty-nine".