111100093 has 16 divisors (see below), whose sum is σ = 122474800. Its totient is φ = 100751040.

The previous prime is 111100061. The next prime is 111100123. The reversal of 111100093 is 390001111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 99560484 + 11539609 = 9978^2 + 3397^2 .

It is not a de Polignac number, because 111100093 - 2⁵ = 111100061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111110093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133603 + ... + 134431.

It is an arithmetic number, because the mean of its divisors is an integer number (7654675).

Almost surely, 2^111100093 is an apocalyptic number.

111100093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111100093 is a deficient number, since it is larger than the sum of its proper divisors (11374707).

111100093 is an frugal number, since it uses more digits than its factorization.

111100093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 16.

The square root of 111100093 is about 10540.4028860381. The cubic root of 111100093 is about 480.7339653778.

The spelling of 111100093 in words is "one hundred eleven million, one hundred thousand, ninety-three".