9704132100 has 648 divisors, whose sum is σ = 36426106080. Its totient is φ = 2232023040.

The previous prime is 9704132069. The next prime is 9704132161. The reversal of 9704132100 is 12314079.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 69813831 + ... + 69813969.

Almost surely, 2^9704132100 is an apocalyptic number.

9704132100 is a gapful number since it is divisible by the number (90) 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 9704132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213053040).

9704132100 is an abundant number, since it is smaller than the sum of its proper divisors (26721973980).

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

9704132100 is a wasteful number, since it uses less digits than its factorization.

9704132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 9704132100 is about 98509.5533438255. The cubic root of 9704132100 is about 2132.9740245016.

Adding to 9704132100 its reverse (12314079), we get a palindrome (9716446179).

The spelling of 9704132100 in words is "nine billion, seven hundred four million, one hundred thirty-two thousand, one hundred".