10100016 has 30 divisors (see below), whose sum is σ = 28266420. Its totient is φ = 3366624.

The previous prime is 10100011. The next prime is 10100047. The reversal of 10100016 is 61000101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10099980 and 10100007.

It is not an unprimeable number, because it can be changed into a prime (10100011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34926 + ... + 35213.

It is an arithmetic number, because the mean of its divisors is an integer number (942214).

Almost surely, 2^10100016 is an apocalyptic number.

10100016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10100016 is an abundant number, since it is smaller than the sum of its proper divisors (18166404).

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

10100016 is a wasteful number, since it uses less digits than its factorization.

10100016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70153 (or 70144 counting only the distinct ones).

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

The square root of 10100016 is about 3178.0522336802. The cubic root of 10100016 is about 216.1593474379.

Adding to 10100016 its reverse (61000101), we get a palindrome (71100117).

The spelling of 10100016 in words is "ten million, one hundred thousand, sixteen".