110133072 has 120 divisors (see below), whose sum is σ = 373029696. Its totient is φ = 29611008.

The previous prime is 110133061. The next prime is 110133103. The reversal of 110133072 is 270331011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13923 + ... + 20349.

Almost surely, 2^110133072 is an apocalyptic number.

110133072 is a gapful number since it is divisible by the number (12) 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 110133072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186514848).

110133072 is an abundant number, since it is smaller than the sum of its proper divisors (262896624).

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

110133072 is a wasteful number, since it uses less digits than its factorization.

110133072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 110133072 is about 10494.4305229012. The cubic root of 110133072 is about 479.3351211254.

Adding to 110133072 its reverse (270331011), we get a palindrome (380464083).

The spelling of 110133072 in words is "one hundred ten million, one hundred thirty-three thousand, seventy-two".