105625000000 has 231 divisors, whose sum is σ = 283703607471. Its totient is φ = 39000000000.

The previous prime is 105624999989. The next prime is 105625000001. The reversal of 105625000000 is 526501.

It is a happy number.

The square root of 105625000000 is 325000.

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

105625000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 83900598336 + 21724401664 = 289656^2 + 147392^2 .

It is a super-2 number, since 2×105625000000² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105625000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 8124999994 + ... + 8125000006.

Almost surely, 2^105625000000 is an apocalyptic number.

105625000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105625000000 is the 325000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105625000000

105625000000 is an abundant number, since it is smaller than the sum of its proper divisors (178078607471).

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

105625000000 is an frugal number, since it uses more digits than its factorization.

105625000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 105625000000 its reverse (526501), we get a palindrome (105625526501).

The spelling of 105625000000 in words is "one hundred five billion, six hundred twenty-five million", and thus it is an aban number.