110906640 has 360 divisors, whose sum is σ = 436487688. Its totient is φ = 25067520.

The previous prime is 110906639. The next prime is 110906659. The reversal of 110906640 is 46609011.

110906640 is a `hidden beast` number, since 1 + 10 + 9 + 0 + 6 + 640 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 40144896 + 70761744 = 6336^2 + 8412^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 2705020 + ... + 2705060.

Almost surely, 2^110906640 is an apocalyptic number.

110906640 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 110906640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218243844).

110906640 is an abundant number, since it is smaller than the sum of its proper divisors (325581048).

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

110906640 is a wasteful number, since it uses less digits than its factorization.

110906640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 81 counting only the distinct ones).

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

The square root of 110906640 is about 10531.2221512985. Note that the first 3 decimals coincide. The cubic root of 110906640 is about 480.4547773172.

The spelling of 110906640 in words is "one hundred ten million, nine hundred six thousand, six hundred forty".