10609000000 has 147 divisors (see below), whose sum is σ = 26572921581. Its totient is φ = 4202400000.

The previous prime is 10608999997. The next prime is 10609000007. The reversal of 10609000000 is 90601.

The square root of 10609000000 is 103000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 9294502464 + 1314497536 = 96408^2 + 36256^2 .

It is a super-2 number, since 2×10609000000² (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 Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10609000007) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 102999949 + ... + 103000051.

Almost surely, 2^10609000000 is an apocalyptic number.

10609000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10609000000 is the 103000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10609000000

10609000000 is an abundant number, since it is smaller than the sum of its proper divisors (15963921581).

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

10609000000 is an frugal number, since it uses more digits than its factorization.

10609000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Multiplying 10609000000 by its sum of digits (16), we get a square (169744000000 = 412000²).

10609000000 divided by its sum of digits (16) gives a square (663062500 = 25750²).

Adding to 10609000000 its reverse (90601), we get a palindrome (10609090601).

Multiplying 10609000000 by its reverse (90601), we get a square (961186009000000 = 31003000²).

The spelling of 10609000000 in words is "ten billion, six hundred nine million", and thus it is an aban number.