10521005166 has 128 divisors (see below), whose sum is σ = 28253568000. Its totient is φ = 2834911872.

The previous prime is 10521005137. The next prime is 10521005171. The reversal of 10521005166 is 66150012501.

It is a happy number.

It is a super-2 number, since 2×10521005166² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1641480 + ... + 1647876.

It is an arithmetic number, because the mean of its divisors is an integer number (220731000).

Almost surely, 2^10521005166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10521005166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14126784000).

10521005166 is an abundant number, since it is smaller than the sum of its proper divisors (17732562834).

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

10521005166 is a wasteful number, since it uses less digits than its factorization.

10521005166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10521005166 its reverse (66150012501), we get a palindrome (76671017667).

The spelling of 10521005166 in words is "ten billion, five hundred twenty-one million, five thousand, one hundred sixty-six".