10005516 has 36 divisors (see below), whose sum is σ = 25389000. Its totient is φ = 3322368.

The previous prime is 10005511. The next prime is 10005539. The reversal of 10005516 is 61550001.

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

It is a super-2 number, since 2×10005516² = 200220700852512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10005511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15855 + ... + 16473.

It is an arithmetic number, because the mean of its divisors is an integer number (705250).

Almost surely, 2^10005516 is an apocalyptic number.

It is an amenable number.

10005516 is an abundant number, since it is smaller than the sum of its proper divisors (15383484).

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

10005516 is a wasteful number, since it uses less digits than its factorization.

10005516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10005516 is about 3163.1496961099. The cubic root of 10005516 is about 215.4830745944.

Adding to 10005516 its reverse (61550001), we get a palindrome (71555517).

The spelling of 10005516 in words is "ten million, five thousand, five hundred sixteen".