110041920 has 168 divisors, whose sum is σ = 398617440. Its totient is φ = 27786240.

The previous prime is 110041907. The next prime is 110041927. The reversal of 110041920 is 29140011.

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 = 110041893 and 110041902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110041927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53715 + ... + 55725.

Almost surely, 2^110041920 is an apocalyptic number.

110041920 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 110041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199308720).

110041920 is an abundant number, since it is smaller than the sum of its proper divisors (288575520).

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

110041920 is a wasteful number, since it uses less digits than its factorization.

110041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2040 counting only the distinct ones).

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

The square root of 110041920 is about 10490.0867489263. The cubic root of 110041920 is about 479.2028435278.

Adding to 110041920 its reverse (29140011), we get a palindrome (139181931).

It can be divided in two parts, 1 and 10041920, that added together give a triangular number (10041921 = T₄₄₈₁).

The spelling of 110041920 in words is "one hundred ten million, forty-one thousand, nine hundred twenty".