103214144 has 56 divisors (see below), whose sum is σ = 224674176. Its totient is φ = 46656000.

The previous prime is 103214143. The next prime is 103214149. The reversal of 103214144 is 441412301.

It is not an unprimeable number, because it can be changed into a prime (103214141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 190514 + ... + 191054.

Almost surely, 2^103214144 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 103214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112337088).

103214144 is an abundant number, since it is smaller than the sum of its proper divisors (121460032).

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

103214144 is a wasteful number, since it uses less digits than its factorization.

103214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 103214144 is about 10159.4362048295. The cubic root of 103214144 is about 469.0794475970.

Adding to 103214144 its reverse (441412301), we get a palindrome (544626445).

The spelling of 103214144 in words is "one hundred three million, two hundred fourteen thousand, one hundred forty-four".