10010016 has 36 divisors (see below), whose sum is σ = 28466802. Its totient is φ = 3336576.

The previous prime is 10009981. The next prime is 10010023. The reversal of 10010016 is 61001001.

It can be written as a sum of positive squares in only one way, i.e., 9363600 + 646416 = 3060^2 + 804^2 .

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 (9).

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 5 ways as a sum of consecutive naturals, for example, 17091 + ... + 17666.

Almost surely, 2^10010016 is an apocalyptic number.

10010016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10010016 is an abundant number, since it is smaller than the sum of its proper divisors (18456786).

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

10010016 is a wasteful number, since it uses less digits than its factorization.

10010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34773 (or 34762 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10010016 is about 3163.8609324684. The cubic root of 10010016 is about 215.5153743946.

Adding to 10010016 its reverse (61001001), we get a palindrome (71011017).

It can be divided in two parts, 1001001 and 6, that multiplied together give a palindrome (6006006).

The spelling of 10010016 in words is "ten million, ten thousand, sixteen".