10206000000 has 784 divisors, whose sum is σ = 43548661320. Its totient is φ = 2332800000.

The previous prime is 10205999983. The next prime is 10206000001. The reversal of 10206000000 is 60201.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206000001) by changing a digit.

It is a polite number, since it can be written in 97 ways as a sum of consecutive naturals, for example, 1457999997 + ... + 1458000003.

Almost surely, 2^10206000000 is an apocalyptic number.

10206000000 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 10206000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21774330660).

10206000000 is an abundant number, since it is smaller than the sum of its proper divisors (33342661320).

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

10206000000 is an frugal number, since it uses more digits than its factorization.

10206000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10206000000 its reverse (60201), we get a palindrome (10206060201).

The spelling of 10206000000 in words is "ten billion, two hundred six million", and thus it is an aban number.