101840605553 has 16 divisors (see below), whose sum is σ = 103556880000. Its totient is φ = 100142303232.

The previous prime is 101840605541. The next prime is 101840605567. The reversal of 101840605553 is 355506048101.

It is a cyclic number.

It is not a de Polignac number, because 101840605553 - 2¹⁰ = 101840604529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101840601553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7428401 + ... + 7442097.

It is an arithmetic number, because the mean of its divisors is an integer number (6472305000).

Almost surely, 2^101840605553 is an apocalyptic number.

It is an amenable number.

101840605553 is a deficient number, since it is larger than the sum of its proper divisors (1716274447).

101840605553 is a wasteful number, since it uses less digits than its factorization.

101840605553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344.

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 101840605553 in words is "one hundred one billion, eight hundred forty million, six hundred five thousand, five hundred fifty-three".