101725980505 has 16 divisors (see below), whose sum is σ = 123526250640. Its totient is φ = 80411972608.

The previous prime is 101725980479. The next prime is 101725980523. The reversal of 101725980505 is 505089527101.

It can be written as a sum of positive squares in 8 ways, for example, as 38975049 + 101687005456 = 6243^2 + 318884^2 .

It is a cyclic number.

It is not a de Polignac number, because 101725980505 - 2¹¹ = 101725978457 is a prime.

It is an unprimeable number.

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, 587829 + ... + 740941.

It is an arithmetic number, because the mean of its divisors is an integer number (7720390665).

Almost surely, 2^101725980505 is an apocalyptic number.

It is an amenable number.

101725980505 is a deficient number, since it is larger than the sum of its proper divisors (21800270135).

101725980505 is a wasteful number, since it uses less digits than its factorization.

101725980505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154700.

The product of its (nonzero) digits is 126000, while the sum is 43.

The spelling of 101725980505 in words is "one hundred one billion, seven hundred twenty-five million, nine hundred eighty thousand, five hundred five".