101005060560 has 80 divisors (see below), whose sum is σ = 323216217600. Its totient is φ = 26065820160.

The previous prime is 101005060553. The next prime is 101005060573. The reversal of 101005060560 is 65060500101.

101005060560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101005060560.

It is a congruent number.

It is an unprimeable number.

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, 6780535 + ... + 6795414.

It is an arithmetic number, because the mean of its divisors is an integer number (4040202720).

Almost surely, 2^101005060560 is an apocalyptic number.

101005060560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101005060560 is an abundant number, since it is smaller than the sum of its proper divisors (222211157040).

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

101005060560 is a wasteful number, since it uses less digits than its factorization.

101005060560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13575996 (or 13575990 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 101005060560 its reverse (65060500101), we get a palindrome (166065560661).

The spelling of 101005060560 in words is "one hundred one billion, five million, sixty thousand, five hundred sixty".