110941920 has 192 divisors, whose sum is σ = 395599680. Its totient is φ = 29030400.

The previous prime is 110941861. The next prime is 110941927. The reversal of 110941920 is 29149011.

It is a super-2 number, since 2×110941920² = 24616219226572800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110941927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263310 + ... + 263730.

It is an arithmetic number, because the mean of its divisors is an integer number (2060415).

Almost surely, 2^110941920 is an apocalyptic number.

110941920 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 110941920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197799840).

110941920 is an abundant number, since it is smaller than the sum of its proper divisors (284657760).

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

110941920 is a wasteful number, since it uses less digits than its factorization.

110941920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 110941920 is about 10532.8970373777. The cubic root of 110941920 is about 480.5057170010.

The spelling of 110941920 in words is "one hundred ten million, nine hundred forty-one thousand, nine hundred twenty".