96970100 has 36 divisors (see below), whose sum is σ = 212530668. Its totient is φ = 38400000.

The previous prime is 96970079. The next prime is 96970109. The reversal of 96970100 is 107969.

It can be written as a sum of positive squares in 6 ways, for example, as 8271376 + 88698724 = 2876^2 + 9418^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96970109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5300 + ... + 14900.

Almost surely, 2^96970100 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 96970100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106265334).

96970100 is an abundant number, since it is smaller than the sum of its proper divisors (115560568).

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

96970100 is a wasteful number, since it uses less digits than its factorization.

96970100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9716 (or 9709 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 96970100 is about 9847.3397422857. The cubic root of 96970100 is about 459.4228742121.

The spelling of 96970100 in words is "ninety-six million, nine hundred seventy thousand, one hundred".