110242000 has 80 divisors (see below), whose sum is σ = 290856384. Its totient is φ = 40080000.

The previous prime is 110241979. The next prime is 110242019. The reversal of 110242000 is 242011.

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 (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19495 + ... + 24505.

Almost surely, 2^110242000 is an apocalyptic number.

110242000 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 110242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145428192).

110242000 is an abundant number, since it is smaller than the sum of its proper divisors (180614384).

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

110242000 is a wasteful number, since it uses less digits than its factorization.

110242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 110242000 is about 10499.6190407081. The cubic root of 110242000 is about 479.4930991384.

Adding to 110242000 its reverse (242011), we get a palindrome (110484011).

The spelling of 110242000 in words is "one hundred ten million, two hundred forty-two thousand".