970112700 has 180 divisors, whose sum is σ = 3164493640. Its totient is φ = 257074560.

The previous prime is 970112687. The next prime is 970112719. The reversal of 970112700 is 7211079.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×970112700² = 1882237301402580000, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1854639 + ... + 1855161.

Almost surely, 2^970112700 is an apocalyptic number.

970112700 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 970112700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582246820).

970112700 is an abundant number, since it is smaller than the sum of its proper divisors (2194380940).

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

970112700 is a wasteful number, since it uses less digits than its factorization.

970112700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 970112700 is about 31146.6322417047. The cubic root of 970112700 is about 989.9366350629.

Adding to 970112700 its reverse (7211079), we get a palindrome (977323779).

The spelling of 970112700 in words is "nine hundred seventy million, one hundred twelve thousand, seven hundred".