100014084 has 36 divisors (see below), whose sum is σ = 254226700. Its totient is φ = 33151680.

The previous prime is 100014067. The next prime is 100014193. The reversal of 100014084 is 480410001.

It can be written as a sum of positive squares in 2 ways, for example, as 12404484 + 87609600 = 3522^2 + 9360^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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 11 ways as a sum of consecutive naturals, for example, 1159 + ... + 14190.

Almost surely, 2^100014084 is an apocalyptic number.

It is an amenable number.

100014084 is an abundant number, since it is smaller than the sum of its proper divisors (154212616).

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

100014084 is a wasteful number, since it uses less digits than its factorization.

100014084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15540 (or 15535 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 100014084 is about 10000.7041752069. The cubic root of 100014084 is about 464.1806730507.

Adding to 100014084 its reverse (480410001), we get a palindrome (580424085).

The spelling of 100014084 in words is "one hundred million, fourteen thousand, eighty-four".