9971100 has 90 divisors (see below), whose sum is σ = 32348624. Its totient is φ = 2656800.

The previous prime is 9971063. The next prime is 9971107. The reversal of 9971100 is 11799.

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9971107) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7485 + ... + 8715.

Almost surely, 2^9971100 is an apocalyptic number.

9971100 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 9971100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174312).

9971100 is an abundant number, since it is smaller than the sum of its proper divisors (22377524).

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

9971100 is a wasteful number, since it uses less digits than its factorization.

9971100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 567, while the sum is 27.

The square root of 9971100 is about 3157.7048627128. The cubic root of 9971100 is about 215.2357248725.

Adding to 9971100 its reverse (11799), we get a palindrome (9982899).

The spelling of 9971100 in words is "nine million, nine hundred seventy-one thousand, one hundred".