10521106000 has 80 divisors (see below), whose sum is σ = 25485275088. Its totient is φ = 4200960000.

The previous prime is 10521105989. The next prime is 10521106009. The reversal of 10521106000 is 60112501.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 449779264 + 10071326736 = 21208^2 + 100356^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10521106000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10521106009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1197624 + ... + 1206376.

Almost surely, 2^10521106000 is an apocalyptic number.

10521106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10521106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12742637544).

10521106000 is an abundant number, since it is smaller than the sum of its proper divisors (14964169088).

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

10521106000 is an equidigital number, since it uses as much as digits as its factorization.

10521106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10521106000 its reverse (60112501), we get a palindrome (10581218501).

The spelling of 10521106000 in words is "ten billion, five hundred twenty-one million, one hundred six thousand".