971851104 has 216 divisors, whose sum is σ = 3404871288. Its totient is φ = 261273600.

The previous prime is 971851093. The next prime is 971851109. The reversal of 971851104 is 401158179.

971851104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971851109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 237879 + ... + 241929.

It is an arithmetic number, because the mean of its divisors is an integer number (15763293).

Almost surely, 2^971851104 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 971851104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702435644).

971851104 is an abundant number, since it is smaller than the sum of its proper divisors (2433020184).

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

971851104 is a wasteful number, since it uses less digits than its factorization.

971851104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4098 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 971851104 is about 31174.5265240709. The cubic root of 971851104 is about 990.5275914517.

It can be divided in two parts, 97185 and 1104, that added together give a palindrome (98289).

The spelling of 971851104 in words is "nine hundred seventy-one million, eight hundred fifty-one thousand, one hundred four".