971411100 has 144 divisors (see below), whose sum is σ = 3227710080. Its totient is φ = 223084800.

The previous prime is 971411069. The next prime is 971411101. The reversal of 971411100 is 1114179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971411101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54954 + ... + 70446.

Almost surely, 2^971411100 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 971411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613855040).

971411100 is an abundant number, since it is smaller than the sum of its proper divisors (2256298980).

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

971411100 is a wasteful number, since it uses less digits than its factorization.

971411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15540 (or 15533 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 971411100 is about 31167.4686171335. The cubic root of 971411100 is about 990.3780823030.

Adding to 971411100 its reverse (1114179), we get a palindrome (972525279).

The spelling of 971411100 in words is "nine hundred seventy-one million, four hundred eleven thousand, one hundred".