110111148900 has 189 divisors, whose sum is σ = 358539639451. Its totient is φ = 29339081280.

The previous prime is 110111148893. The next prime is 110111148937. The reversal of 110111148900 is 9841111011.

It is a happy number.

The square root of 110111148900 is 331830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28077023844 + 82034125056 = 167562^2 + 286416^2 .

It is a super-2 number, since 2×110111148900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 89593486 + ... + 89594714.

Almost surely, 2^110111148900 is an apocalyptic number.

110111148900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110111148900 is the 331830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110111148900

110111148900 is an abundant number, since it is smaller than the sum of its proper divisors (248428490551).

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

110111148900 is an frugal number, since it uses more digits than its factorization.

110111148900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

Adding to 110111148900 its reverse (9841111011), we get a palindrome (119952259911).

The spelling of 110111148900 in words is "one hundred ten billion, one hundred eleven million, one hundred forty-eight thousand, nine hundred".