111051985 has 40 divisors (see below), whose sum is σ = 154221480. Its totient is φ = 76665600.

The previous prime is 111051977. The next prime is 111051989. The reversal of 111051985 is 589150111.

111051985 = 1123² + 1124² + ... + 1204².

It can be written as a sum of positive squares in 4 ways, for example, as 7745089 + 103306896 = 2783^2 + 10164^2 .

It is not a de Polignac number, because 111051985 - 2³ = 111051977 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111051989) 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 39 ways as a sum of consecutive naturals, for example, 2708565 + ... + 2708605.

It is an arithmetic number, because the mean of its divisors is an integer number (3855537).

Almost surely, 2^111051985 is an apocalyptic number.

It is an amenable number.

111051985 is a deficient number, since it is larger than the sum of its proper divisors (43169495).

111051985 is an frugal number, since it uses more digits than its factorization.

111051985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 31.

The square root of 111051985 is about 10538.1205629847. The cubic root of 111051985 is about 480.6645670305.

The spelling of 111051985 in words is "one hundred eleven million, fifty-one thousand, nine hundred eighty-five".