110661120 has 160 divisors (see below), whose sum is σ = 393323040. Its totient is φ = 29491200.

The previous prime is 110661101. The next prime is 110661121. The reversal of 110661120 is 21166011.

110661120 is a `hidden beast` number, since 1 + 1 + 0 + 661 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110661093 and 110661102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110661121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68320 + ... + 69920.

It is an arithmetic number, because the mean of its divisors is an integer number (2458269).

Almost surely, 2^110661120 is an apocalyptic number.

110661120 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 110661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196661520).

110661120 is an abundant number, since it is smaller than the sum of its proper divisors (282661920).

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

110661120 is an equidigital number, since it uses as much as digits as its factorization.

110661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 110661120 is about 10519.5589261147. The cubic root of 110661120 is about 480.0999791739.

It can be divided in two parts, 1106 and 61120, that added together give a palindrome (62226).

The spelling of 110661120 in words is "one hundred ten million, six hundred sixty-one thousand, one hundred twenty".