9700280100 has 405 divisors, whose sum is σ = 36007686897. Its totient is φ = 2184114240.

The previous prime is 9700280089. The next prime is 9700280119. The reversal of 9700280100 is 10820079.

The square root of 9700280100 is 98490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3492100836 + 6208179264 = 59094^2 + 78792^2 .

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 144780267 + ... + 144780333.

Almost surely, 2^9700280100 is an apocalyptic number.

9700280100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9700280100 is the 98490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9700280100

9700280100 is an abundant number, since it is smaller than the sum of its proper divisors (26307406797).

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

9700280100 is a wasteful number, since it uses less digits than its factorization.

9700280100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The cubic root of 9700280100 is about 2132.6917631850.

The spelling of 9700280100 in words is "nine billion, seven hundred million, two hundred eighty thousand, one hundred".