10255612900 has 243 divisors, whose sum is σ = 26068802193. Its totient is φ = 3499891200.

The previous prime is 10255612889. The next prime is 10255612901. The reversal of 10255612900 is 921655201.

The square root of 10255612900 is 101270.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9294116836 + 961496064 = 96406^2 + 31008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10255612901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 250136880 + ... + 250136920.

Almost surely, 2^10255612900 is an apocalyptic number.

10255612900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10255612900 is the 101270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10255612900

10255612900 is an abundant number, since it is smaller than the sum of its proper divisors (15813189293).

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

10255612900 is a wasteful number, since it uses less digits than its factorization.

10255612900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

It can be divided in two parts, 1025 and 5612900, that multiplied together give a square (5753222500 = 75850²).

The spelling of 10255612900 in words is "ten billion, two hundred fifty-five million, six hundred twelve thousand, nine hundred".