103214304 has 96 divisors (see below), whose sum is σ = 305706240. Its totient is φ = 33872256.

The previous prime is 103214291. The next prime is 103214339. The reversal of 103214304 is 403412301.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56997 + ... + 58779.

It is an arithmetic number, because the mean of its divisors is an integer number (3184440).

Almost surely, 2^103214304 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 103214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152853120).

103214304 is an abundant number, since it is smaller than the sum of its proper divisors (202491936).

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

103214304 is a wasteful number, since it uses less digits than its factorization.

103214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 103214304 is about 10159.4440792791. Note that the first 3 decimals coincide. The cubic root of 103214304 is about 469.0796899819.

Adding to 103214304 its reverse (403412301), we get a palindrome (506626605).

The spelling of 103214304 in words is "one hundred three million, two hundred fourteen thousand, three hundred four".