971100 has 108 divisors (see below), whose sum is σ = 3317496. Its totient is φ = 236160.

The previous prime is 971099. The next prime is 971111. The reversal of 971100 is 1179.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11659 + ... + 11741.

2⁹⁷¹¹⁰⁰ is an apocalyptic number.

971100 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 971100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658748).

971100 is an abundant number, since it is smaller than the sum of its proper divisors (2346396).

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

971100 is a wasteful number, since it uses less digits than its factorization.

971100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 971100 is about 985.4440623394. Note that the first 3 decimals coincide. The cubic root of 971100 is about 99.0272346253.

Adding to 971100 its reverse (1179), we get a palindrome (972279).

The spelling of 971100 in words is "nine hundred seventy-one thousand, one hundred".