110001920 has 72 divisors (see below), whose sum is σ = 301154784. Its totient is φ = 37711872.

The previous prime is 110001907. The next prime is 110001923. The reversal of 110001920 is 29100011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110001895 and 110001904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001923) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2822 + ... + 15098.

Almost surely, 2^110001920 is an apocalyptic number.

110001920 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 110001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150577392).

110001920 is an abundant number, since it is smaller than the sum of its proper divisors (191152864).

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

110001920 is an equidigital number, since it uses as much as digits as its factorization.

110001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12305 (or 12291 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 110001920 is about 10488.1800137107. The cubic root of 110001920 is about 479.1447734252.

Adding to 110001920 its reverse (29100011), we get a palindrome (139101931).

The spelling of 110001920 in words is "one hundred ten million, one thousand, nine hundred twenty".