110929920 has 192 divisors, whose sum is σ = 372677760. Its totient is φ = 28114944.

The previous prime is 110929919. The next prime is 110929921. The reversal of 110929920 is 29929011.

It is an interprime number because it is at equal distance from previous prime (110929919) and next prime (110929921).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (110929921) 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, 706482 + ... + 706638.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 2^110929920 is an apocalyptic number.

110929920 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 110929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186338880).

110929920 is an abundant number, since it is smaller than the sum of its proper divisors (261747840).

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

110929920 is a wasteful number, since it uses less digits than its factorization.

110929920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 110929920 is about 10532.3273781249. The cubic root of 110929920 is about 480.4883917901.

It can be divided in two parts, 11092 and 9920, that added together give a palindrome (21012).

The spelling of 110929920 in words is "one hundred ten million, nine hundred twenty-nine thousand, nine hundred twenty".