96101829072 has 60 divisors (see below), whose sum is σ = 269449003044. Its totient is φ = 31974704640.

The previous prime is 96101829053. The next prime is 96101829079. The reversal of 96101829072 is 27092810169.

96101829072 is a `hidden beast` number, since 9 + 610 + 1 + 8 + 29 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72887040576 + 23214788496 = 269976^2 + 152364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96101829079) 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, 538893 + ... + 694700.

Almost surely, 2^96101829072 is an apocalyptic number.

It is an amenable number.

96101829072 is an abundant number, since it is smaller than the sum of its proper divisors (173347173972).

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

96101829072 is a wasteful number, since it uses less digits than its factorization.

96101829072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234148 (or 1234139 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 96101829072 in words is "ninety-six billion, one hundred one million, eight hundred twenty-nine thousand, seventy-two".