101964838717985 has 8 divisors (see below), whose sum is σ = 122359686705960. Its totient is φ = 81570617478144.

The previous prime is 101964838717957. The next prime is 101964838718011. The reversal of 101964838717985 is 589717838469101.

It can be written as a sum of positive squares in 4 ways, for example, as 15276895993489 + 86687942724496 = 3908567^2 + 9310636^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101964838717985 - 2²⁴ = 101964821940769 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156329042 + ... + 156979931.

It is an arithmetic number, because the mean of its divisors is an integer number (15294960838245).

Almost surely, 2^{101964838717985} is an apocalyptic number.

It is an amenable number.

101964838717985 is a deficient number, since it is larger than the sum of its proper divisors (20394847987975).

101964838717985 is an equidigital number, since it uses as much as digits as its factorization.

101964838717985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313374067.

The product of its (nonzero) digits is 731566080, while the sum is 77.

The spelling of 101964838717985 in words is "one hundred one trillion, nine hundred sixty-four billion, eight hundred thirty-eight million, seven hundred seventeen thousand, nine hundred eighty-five".