10100084 has 12 divisors (see below), whose sum is σ = 17752644. Its totient is φ = 5027904.

The previous prime is 10100047. The next prime is 10100089. The reversal of 10100084 is 48000101.

It is a happy number.

10100084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2102500 + 7997584 = 1450^2 + 2828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4487 + ... + 6350.

It is an arithmetic number, because the mean of its divisors is an integer number (1479387).

Almost surely, 2^10100084 is an apocalyptic number.

It is an amenable number.

10100084 is a deficient number, since it is larger than the sum of its proper divisors (7652560).

10100084 is a wasteful number, since it uses less digits than its factorization.

10100084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074 (or 11072 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 10100084 is about 3178.0629320389. The cubic root of 10100084 is about 216.1598325462.

Adding to 10100084 its reverse (48000101), we get a palindrome (58100185).

The spelling of 10100084 in words is "ten million, one hundred thousand, eighty-four".