110617920 has 448 divisors, whose sum is σ = 468172800. Its totient is φ = 24053760.

The previous prime is 110617909. The next prime is 110617939. The reversal of 110617920 is 29716011.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1874851 + ... + 1874909.

Almost surely, 2^110617920 is an apocalyptic number.

110617920 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 110617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234086400).

110617920 is an abundant number, since it is smaller than the sum of its proper divisors (357554880).

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

110617920 is a wasteful number, since it uses less digits than its factorization.

110617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 110617920 is about 10517.5054076525. The cubic root of 110617920 is about 480.0374970707.

It can be divided in two parts, 11061 and 7920, that added together give a palindrome (18981).

The spelling of 110617920 in words is "one hundred ten million, six hundred seventeen thousand, nine hundred twenty".