111042900 has 90 divisors (see below), whose sum is σ = 359983470. Its totient is φ = 29609280.

The previous prime is 111042853. The next prime is 111042901. The reversal of 111042900 is 9240111.

111042900 = T₂₉₆₈ + T₂₉₆₉ + ... + T₂₉₉₂.

It can be written as a sum of positive squares in 3 ways, for example, as 21399876 + 89643024 = 4626^2 + 9468^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111042901) 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 29 ways as a sum of consecutive naturals, for example, 1246 + ... + 14954.

Almost surely, 2^111042900 is an apocalyptic number.

111042900 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 111042900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179991735).

111042900 is an abundant number, since it is smaller than the sum of its proper divisors (248940570).

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

111042900 is a wasteful number, since it uses less digits than its factorization.

111042900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13735 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 111042900 is about 10537.6895000754. The cubic root of 111042900 is about 480.6514591853.

The spelling of 111042900 in words is "one hundred eleven million, forty-two thousand, nine hundred".