10005498 has 64 divisors (see below), whose sum is σ = 23654400. Its totient is φ = 3129840.

The previous prime is 10005497. The next prime is 10005509. The reversal of 10005498 is 89450001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10005497) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71913 + ... + 72051.

It is an arithmetic number, because the mean of its divisors is an integer number (369600).

Almost surely, 2^10005498 is an apocalyptic number.

10005498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10005498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827200).

10005498 is an abundant number, since it is smaller than the sum of its proper divisors (13648902).

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

10005498 is a wasteful number, since it uses less digits than its factorization.

10005498 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10005498 is about 3163.1468508433. The cubic root of 10005498 is about 215.4829453758.

Adding to 10005498 its reverse (89450001), we get a palindrome (99455499).

The spelling of 10005498 in words is "ten million, five thousand, four hundred ninety-eight".