9770100 has 72 divisors (see below), whose sum is σ = 29268960. Its totient is φ = 2513280.

The previous prime is 9770083. The next prime is 9770113. The reversal of 9770100 is 10779.

9770100 = 86² + 87² + ... + 310².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8139 + ... + 9261.

Almost surely, 2^9770100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9770100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14634480).

9770100 is an abundant number, since it is smaller than the sum of its proper divisors (19498860).

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

9770100 is a wasteful number, since it uses less digits than its factorization.

9770100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 9770100 is about 3125.7159179938. The cubic root of 9770100 is about 213.7796374896.

Adding to 9770100 its reverse (10779), we get a palindrome (9780879).

It can be divided in two parts, 9770 and 100, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 9770100 in words is "nine million, seven hundred seventy thousand, one hundred".