971630100 has 288 divisors, whose sum is σ = 3612268800. Its totient is φ = 219456000.

The previous prime is 971630059. The next prime is 971630119. The reversal of 971630100 is 1036179.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1908646 + ... + 1909154.

It is an arithmetic number, because the mean of its divisors is an integer number (12542600).

Almost surely, 2^971630100 is an apocalyptic number.

971630100 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 971630100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806134400).

971630100 is an abundant number, since it is smaller than the sum of its proper divisors (2640638700).

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

971630100 is a wasteful number, since it uses less digits than its factorization.

971630100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 971630100 is about 31170.9816977265. The cubic root of 971630100 is about 990.4525020494.

Adding to 971630100 its reverse (1036179), we get a palindrome (972666279).

The spelling of 971630100 in words is "nine hundred seventy-one million, six hundred thirty thousand, one hundred".