101965068192 has 96 divisors (see below), whose sum is σ = 294380497152. Its totient is φ = 30706320384.

The previous prime is 101965068187. The next prime is 101965068193. The reversal of 101965068192 is 291860569101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (101965068193) 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 15 ways as a sum of consecutive naturals, for example, 810523 + ... + 927834.

It is an arithmetic number, because the mean of its divisors is an integer number (3066463512).

Almost surely, 2^101965068192 is an apocalyptic number.

101965068192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101965068192 is an abundant number, since it is smaller than the sum of its proper divisors (192415428960).

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

101965068192 is a wasteful number, since it uses less digits than its factorization.

101965068192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738430 (or 1738422 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 101965068192 in words is "one hundred one billion, nine hundred sixty-five million, sixty-eight thousand, one hundred ninety-two".