111349016100 has 405 divisors, whose sum is σ = 408964198097. Its totient is φ = 25339083840.

The previous prime is 111349016039. The next prime is 111349016111. The reversal of 111349016100 is 1610943111.

The square root of 111349016100 is 333690.

It is a perfect power (a square), and thus also a powerful number.

111349016100 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 49 + 0 + 1 + 610 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40085645796 + 71263370304 = 200214^2 + 266952^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 490524187 + ... + 490524413.

Almost surely, 2^111349016100 is an apocalyptic number.

111349016100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111349016100 is the 333690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111349016100

111349016100 is an abundant number, since it is smaller than the sum of its proper divisors (297615181997).

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

111349016100 is an equidigital number, since it uses as much as digits as its factorization.

111349016100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

Adding to 111349016100 its reverse (1610943111), we get a palindrome (112959959211).

The spelling of 111349016100 in words is "one hundred eleven billion, three hundred forty-nine million, sixteen thousand, one hundred".