100725577511 has 8 divisors (see below), whose sum is σ = 108507737184. Its totient is φ = 92948280480.

The previous prime is 100725577499. The next prime is 100725577517. The reversal of 100725577511 is 115775527001.

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 100725577511 - 2³⁰ = 99651835687 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100725577517) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1172576 + ... + 1255541.

It is an arithmetic number, because the mean of its divisors is an integer number (13563467148).

Almost surely, 2^100725577511 is an apocalyptic number.

100725577511 is a deficient number, since it is larger than the sum of its proper divisors (7782159673).

100725577511 is a wasteful number, since it uses less digits than its factorization.

100725577511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431321.

The product of its (nonzero) digits is 85750, while the sum is 41.

The spelling of 100725577511 in words is "one hundred billion, seven hundred twenty-five million, five hundred seventy-seven thousand, five hundred eleven".