110114004 has 192 divisors, whose sum is σ = 352235520. Its totient is φ = 25850880.

The previous prime is 110113973. The next prime is 110114023. The reversal of 110114004 is 400411011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1069017 + ... + 1069119.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^110114004 is an apocalyptic number.

110114004 is a gapful number since it is divisible by the number (14) 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 110114004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176117760).

110114004 is an abundant number, since it is smaller than the sum of its proper divisors (242121516).

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

110114004 is a wasteful number, since it uses less digits than its factorization.

110114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 110114004 is about 10493.5220016923. The cubic root of 110114004 is about 479.3074561396.

Adding to 110114004 its reverse (400411011), we get a palindrome (510525015).

It can be divided in two parts, 11011 and 4004, that multiplied together give a palindrome (44088044).

The spelling of 110114004 in words is "one hundred ten million, one hundred fourteen thousand, four".