110966040 has 96 divisors (see below), whose sum is σ = 362419200. Its totient is φ = 29445120.

The previous prime is 110966029. The next prime is 110966041. The reversal of 110966040 is 40669011.

It is a junction number, because it is equal to n+sod(n) for n = 110965995 and 110966013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110966041) 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 23 ways as a sum of consecutive naturals, for example, 86121 + ... + 87399.

It is an arithmetic number, because the mean of its divisors is an integer number (3775200).

Almost surely, 2^110966040 is an apocalyptic number.

110966040 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 110966040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181209600).

110966040 is an abundant number, since it is smaller than the sum of its proper divisors (251453160).

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

110966040 is a wasteful number, since it uses less digits than its factorization.

110966040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 110966040 is about 10534.0419592861. The cubic root of 110966040 is about 480.5405368962.

The spelling of 110966040 in words is "one hundred ten million, nine hundred sixty-six thousand, forty".