10248900 has 72 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 2701440.

The previous prime is 10248899. The next prime is 10248911. The reversal of 10248900 is 984201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37966 + ... + 38234.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 2^10248900 is an apocalyptic number.

10248900 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 10248900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

10248900 is an abundant number, since it is smaller than the sum of its proper divisors (19749180).

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

10248900 is a wasteful number, since it uses less digits than its factorization.

10248900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10248900 is about 3201.3903229691. The cubic root of 10248900 is about 217.2163033931.

The spelling of 10248900 in words is "ten million, two hundred forty-eight thousand, nine hundred".