970685100 has 864 divisors, whose sum is σ = 4274726400. Its totient is φ = 186278400.

The previous prime is 970685063. The next prime is 970685101. The reversal of 970685100 is 1586079.

970685100 = T₃₈₄ + T₃₈₅ + ... + T₁₈₀₄.

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

It is not an unprimeable number, because it can be changed into a prime (970685101) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 33471886 + ... + 33471914.

It is an arithmetic number, because the mean of its divisors is an integer number (4947600).

Almost surely, 2^970685100 is an apocalyptic number.

970685100 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 970685100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137363200).

970685100 is an abundant number, since it is smaller than the sum of its proper divisors (3304041300).

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

970685100 is a wasteful number, since it uses less digits than its factorization.

970685100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 970685100 is about 31155.8196810805. The cubic root of 970685100 is about 990.1312957179.

The spelling of 970685100 in words is "nine hundred seventy million, six hundred eighty-five thousand, one hundred".