110040672 has 144 divisors (see below), whose sum is σ = 340426800. Its totient is φ = 31030272.

The previous prime is 110040589. The next prime is 110040673. The reversal of 110040672 is 276040011.

It is a super-3 number, since 3×110040672³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110040673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700818 + ... + 700974.

It is an arithmetic number, because the mean of its divisors is an integer number (2364075).

Almost surely, 2^110040672 is an apocalyptic number.

110040672 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 110040672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170213400).

110040672 is an abundant number, since it is smaller than the sum of its proper divisors (230386128).

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

110040672 is a wasteful number, since it uses less digits than its factorization.

110040672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 110040672 is about 10490.0272640256. The cubic root of 110040672 is about 479.2010319533.

Adding to 110040672 its reverse (276040011), we get a palindrome (386080683).

The spelling of 110040672 in words is "one hundred ten million, forty thousand, six hundred seventy-two".