110414112 has 48 divisors (see below), whose sum is σ = 293116320. Its totient is φ = 36388352.

The previous prime is 110414093. The next prime is 110414119. The reversal of 110414112 is 211414011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×110414112² = 24382552257497088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110414091 and 110414100.

It is not an unprimeable number, because it can be changed into a prime (110414119) 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, 2083 + ... + 15005.

It is an arithmetic number, because the mean of its divisors is an integer number (6106590).

Almost surely, 2^110414112 is an apocalyptic number.

110414112 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 110414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146558160).

110414112 is an abundant number, since it is smaller than the sum of its proper divisors (182702208).

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

110414112 is a wasteful number, since it uses less digits than its factorization.

110414112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13025 (or 13017 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 110414112 is about 10507.8119511152. The cubic root of 110414112 is about 479.7425007764.

Adding to 110414112 its reverse (211414011), we get a palindrome (321828123).

The spelling of 110414112 in words is "one hundred ten million, four hundred fourteen thousand, one hundred twelve".