96753842101 has 32 divisors (see below), whose sum is σ = 121600972800. Its totient is φ = 75061546560.

The previous prime is 96753842051. The next prime is 96753842113. The reversal of 96753842101 is 10124835769.

It is not a de Polignac number, because 96753842101 - 2⁹ = 96753841589 is a prime.

It is a super-2 number, since 2×96753842101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96753842131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2609271 + ... + 2646091.

It is an arithmetic number, because the mean of its divisors is an integer number (3800030400).

It is a 2-persistent number, because it is pandigital, and so is 2⋅96753842101 = 193507684202, but 3⋅96753842101 = 290261526303 is not.

Almost surely, 2^96753842101 is an apocalyptic number.

It is an amenable number.

96753842101 is a deficient number, since it is larger than the sum of its proper divisors (24847130699).

96753842101 is a wasteful number, since it uses less digits than its factorization.

96753842101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37729.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 96753842101 in words is "ninety-six billion, seven hundred fifty-three million, eight hundred forty-two thousand, one hundred one".