110138880 has 80 divisors (see below), whose sum is σ = 352124784. Its totient is φ = 29368320.

The previous prime is 110138857. The next prime is 110138887. The reversal of 110138880 is 88831011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110138887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510 + ... + 14850.

Almost surely, 2^110138880 is an apocalyptic number.

110138880 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 110138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176062392).

110138880 is an abundant number, since it is smaller than the sum of its proper divisors (241985904).

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

110138880 is an equidigital number, since it uses as much as digits as its factorization.

110138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14367 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 110138880 is about 10494.7072374602. The cubic root of 110138880 is about 479.3435470820.

Adding to 110138880 its reverse (88831011), we get a palindrome (198969891).

The spelling of 110138880 in words is "one hundred ten million, one hundred thirty-eight thousand, eight hundred eighty".