110077968 has 320 divisors, whose sum is σ = 399974400. Its totient is φ = 25159680.

The previous prime is 110077967. The next prime is 110077973. The reversal of 110077968 is 869770011.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (110077967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1393353 + ... + 1393431.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^110077968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110077968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

110077968 is an abundant number, since it is smaller than the sum of its proper divisors (289896432).

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

110077968 is a wasteful number, since it uses less digits than its factorization.

110077968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 110077968 is about 10491.8048018442. The cubic root of 110077968 is about 479.2551642500.

The spelling of 110077968 in words is "one hundred ten million, seventy-seven thousand, nine hundred sixty-eight".