96101005000 has 720 divisors, whose sum is σ = 310874675760. Its totient is φ = 27518400000.

The previous prime is 96101004973. The next prime is 96101005081. The reversal of 96101005000 is 50010169.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 455454895 + ... + 455455105.

It is an arithmetic number, because the mean of its divisors is an integer number (431770383).

Almost surely, 2^96101005000 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 96101005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155437337880).

96101005000 is an abundant number, since it is smaller than the sum of its proper divisors (214773670760).

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

96101005000 is a wasteful number, since it uses less digits than its factorization.

96101005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

Adding to 96101005000 its reverse (50010169), we get a palindrome (96151015169).

The spelling of 96101005000 in words is "ninety-six billion, one hundred one million, five thousand".