96313805010 has 192 divisors, whose sum is σ = 262730239200. Its totient is φ = 24448241664.

The previous prime is 96313805009. The next prime is 96313805011. The reversal of 96313805010 is 1050831369.

It is a happy number.

96313805010 is a `hidden beast` number, since 9 + 63 + 13 + 80 + 501 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96313805009) and next prime (96313805011).

It can be written as a sum of positive squares in 16 ways, for example, as 29825635401 + 66488169609 = 172701^2 + 257853^2 .

It is a super-2 number, since 2×96313805010² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96313805011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66285444 + ... + 66286896.

Almost surely, 2^96313805010 is an apocalyptic number.

96313805010 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96313805010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131365119600).

96313805010 is an abundant number, since it is smaller than the sum of its proper divisors (166416434190).

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

96313805010 is a wasteful number, since it uses less digits than its factorization.

96313805010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 96313805010 in words is "ninety-six billion, three hundred thirteen million, eight hundred five thousand, ten".