10048500 has 288 divisors, whose sum is σ = 40884480. Its totient is φ = 2016000.

The previous prime is 10048499. The next prime is 10048501. The reversal of 10048500 is 584001.

It is an interprime number because it is at equal distance from previous prime (10048499) and next prime (10048501).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346486 + ... + 346514.

It is an arithmetic number, because the mean of its divisors is an integer number (141960).

Almost surely, 2^10048500 is an apocalyptic number.

10048500 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 10048500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

10048500 is an abundant number, since it is smaller than the sum of its proper divisors (30835980).

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

10048500 is a wasteful number, since it uses less digits than its factorization.

10048500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10048500 is about 3169.9369078895. The cubic root of 10048500 is about 215.7912077049.

The spelling of 10048500 in words is "ten million, forty-eight thousand, five hundred".