100014304 has 48 divisors (see below), whose sum is σ = 221290272. Its totient is φ = 44149248.

The previous prime is 100014289. The next prime is 100014311. The reversal of 100014304 is 403410001.

It is a super-2 number, since 2×100014304² = 20005722009208832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 7 ways as a sum of consecutive naturals, for example, 4342 + ... + 14794.

It is an arithmetic number, because the mean of its divisors is an integer number (4610214).

Almost surely, 2^100014304 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 100014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110645136).

100014304 is an abundant number, since it is smaller than the sum of its proper divisors (121275968).

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

100014304 is a wasteful number, since it uses less digits than its factorization.

100014304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10499 (or 10491 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 100014304 is about 10000.7151744263. The cubic root of 100014304 is about 464.1810134017.

Adding to 100014304 its reverse (403410001), we get a palindrome (503424305).

The spelling of 100014304 in words is "one hundred million, fourteen thousand, three hundred four".