10288242900 has 216 divisors, whose sum is σ = 34805272320. Its totient is φ = 2526900480.

The previous prime is 10288242883. The next prime is 10288242947. The reversal of 10288242900 is 924288201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8411689 + ... + 8412911.

It is an arithmetic number, because the mean of its divisors is an integer number (161135520).

Almost surely, 2^10288242900 is an apocalyptic number.

10288242900 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 10288242900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402636160).

10288242900 is an abundant number, since it is smaller than the sum of its proper divisors (24517029420).

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

10288242900 is a wasteful number, since it uses less digits than its factorization.

10288242900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1975 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10288242900 in words is "ten billion, two hundred eighty-eight million, two hundred forty-two thousand, nine hundred".