114103808 has 160 divisors (see below), whose sum is σ = 293314560. Its totient is φ = 43130880.

The previous prime is 114103807. The next prime is 114103831. The reversal of 114103808 is 808301411.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 114103808 = 27³ + 485³ = 152³ + 480³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114103807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444313 + ... + 1444391.

It is an arithmetic number, because the mean of its divisors is an integer number (1833216).

Almost surely, 2^114103808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114103808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146657280).

114103808 is an abundant number, since it is smaller than the sum of its proper divisors (179210752).

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

114103808 is an equidigital number, since it uses as much as digits as its factorization.

114103808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 114103808 is about 10681.9384008709. The cubic root of 114103808 is about 485.0278908395.

The spelling of 114103808 in words is "one hundred fourteen million, one hundred three thousand, eight hundred eight".