9800100 has 54 divisors (see below), whose sum is σ = 30720690. Its totient is φ = 2613120.

The previous prime is 9800053. The next prime is 9800101. The reversal of 9800100 is 10089.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 9771876 = 168^2 + 3126^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9800101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4545 + ... + 6344.

Almost surely, 2^9800100 is an apocalyptic number.

9800100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9800100 is an abundant number, since it is smaller than the sum of its proper divisors (20920590).

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

9800100 is a wasteful number, since it uses less digits than its factorization.

9800100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10909 (or 10899 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 9800100 is about 3130.5111403731. The cubic root of 9800100 is about 213.9982239932.

Adding to 9800100 its reverse (10089), we get a palindrome (9810189).

The spelling of 9800100 in words is "nine million, eight hundred thousand, one hundred".