10090202500 has 225 divisors, whose sum is σ = 26384414441. Its totient is φ = 3375120000.

The previous prime is 10090202489. The next prime is 10090202503. The reversal of 10090202500 is 520209001.

The square root of 10090202500 is 100450.

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

It can be written as a sum of positive squares in 7 ways, for example, as 10050864516 + 39337984 = 100254^2 + 6272^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10090202503) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 246102480 + ... + 246102520.

Almost surely, 2^10090202500 is an apocalyptic number.

10090202500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10090202500 is the 100450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10090202500

10090202500 is an abundant number, since it is smaller than the sum of its proper divisors (16294211941).

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

10090202500 is an frugal number, since it uses more digits than its factorization.

10090202500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 10090202500 in words is "ten billion, ninety million, two hundred two thousand, five hundred".