110019920 has 40 divisors (see below), whose sum is σ = 270846504. Its totient is φ = 41418752.

The previous prime is 110019919. The next prime is 110019941. The reversal of 110019920 is 29910011.

It can be written as a sum of positive squares in 4 ways, for example, as 46403344 + 63616576 = 6812^2 + 7976^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39089 + ... + 41808.

Almost surely, 2^110019920 is an apocalyptic number.

110019920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110019920 is an abundant number, since it is smaller than the sum of its proper divisors (160826584).

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

110019920 is a wasteful number, since it uses less digits than its factorization.

110019920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80927 (or 80921 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 23.

The square root of 110019920 is about 10489.0380874511. The cubic root of 110019920 is about 479.1709067132.

Adding to 110019920 its reverse (29910011), we get a palindrome (139929931).

The spelling of 110019920 in words is "one hundred ten million, nineteen thousand, nine hundred twenty".