101082745753 has 16 divisors (see below), whose sum is σ = 111320053632. Its totient is φ = 91780484400.

The previous prime is 101082745721. The next prime is 101082745759. The reversal of 101082745753 is 357547280101.

It is not a de Polignac number, because 101082745753 - 2⁵ = 101082745721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101082745759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1046500 + ... + 1139002.

It is an arithmetic number, because the mean of its divisors is an integer number (6957503352).

Almost surely, 2^101082745753 is an apocalyptic number.

It is an amenable number.

101082745753 is a deficient number, since it is larger than the sum of its proper divisors (10237307879).

101082745753 is an frugal number, since it uses more digits than its factorization.

101082745753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93357 (or 93335 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 101082745753 in words is "one hundred one billion, eighty-two million, seven hundred forty-five thousand, seven hundred fifty-three".