110487100816 has 45 divisors (see below), whose sum is σ = 223842716769. Its totient is φ = 52827031488.

The previous prime is 110487100781. The next prime is 110487100819. The reversal of 110487100816 is 618001784011.

The square root of 110487100816 is 332396.

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

It can be written as a sum of positive squares in only one way, i.e., 61152400 + 110425948416 = 7820^2 + 332304^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110487100819) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 30578626 + ... + 30582238.

Almost surely, 2^110487100816 is an apocalyptic number.

110487100816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

110487100816 is the 332396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110487100816

110487100816 is an abundant number, since it is smaller than the sum of its proper divisors (113355615953).

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

110487100816 is an frugal number, since it uses more digits than its factorization.

110487100816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 37.

Adding to 110487100816 its reverse (618001784011), we get a palindrome (728488884827).

The spelling of 110487100816 in words is "one hundred ten billion, four hundred eighty-seven million, one hundred thousand, eight hundred sixteen".