96871064516100 has 360 divisors, whose sum is σ = 360417691041408. Its totient is φ = 22046924736000.

The previous prime is 96871064516077. The next prime is 96871064516101. The reversal of 96871064516100 is 161546017869.

96871064516100 is a `hidden beast` number, since 9 + 6 + 8 + 7 + 10 + 6 + 4 + 5 + 1 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (96871064516101) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9544825 + ... + 16877375.

Almost surely, 2^{96871064516100} is an apocalyptic number.

96871064516100 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 96871064516100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180208845520704).

96871064516100 is an abundant number, since it is smaller than the sum of its proper divisors (263546626525308).

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

96871064516100 is a wasteful number, since it uses less digits than its factorization.

96871064516100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7332817 (or 7332801 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 96871064516100 in words is "ninety-six trillion, eight hundred seventy-one billion, sixty-four million, five hundred sixteen thousand, one hundred".