110414016 has 210 divisors, whose sum is σ = 351289620. Its totient is φ = 34276608.

The previous prime is 110413973. The next prime is 110414021. The reversal of 110414016 is 610414011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 110414016.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1871395 + ... + 1871453.

Almost surely, 2^110414016 is an apocalyptic number.

110414016 is a gapful number since it is divisible by the number (16) 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 110414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175644810).

110414016 is an abundant number, since it is smaller than the sum of its proper divisors (240875604).

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

110414016 is an equidigital number, since it uses as much as digits as its factorization.

110414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 110414016 is about 10507.8073830843. The cubic root of 110414016 is about 479.7423617383.

Adding to 110414016 its reverse (610414011), we get a palindrome (720828027).

The spelling of 110414016 in words is "one hundred ten million, four hundred fourteen thousand, sixteen".