10005048 has 24 divisors (see below), whose sum is σ = 27097200. Its totient is φ = 3334992.

The previous prime is 10005041. The next prime is 10005053. The reversal of 10005048 is 84050001.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10005048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69408 + ... + 69551.

It is an arithmetic number, because the mean of its divisors is an integer number (1129050).

Almost surely, 2^10005048 is an apocalyptic number.

10005048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10005048 is an abundant number, since it is smaller than the sum of its proper divisors (17092152).

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

10005048 is a wasteful number, since it uses less digits than its factorization.

10005048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138971 (or 138964 counting only the distinct ones).

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

The square root of 10005048 is about 3163.0757183476. The cubic root of 10005048 is about 215.4797148593.

Adding to 10005048 its reverse (84050001), we get a palindrome (94055049).

The spelling of 10005048 in words is "ten million, five thousand, forty-eight".