100105500505527 has 12 divisors (see below), whose sum is σ = 157742000796744. Its totient is φ = 60670000306320.

The previous prime is 100105500505501. The next prime is 100105500505643. The reversal of 100105500505527 is 725505005501001.

100105500505527 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 5 + 50 + 0 + 50 + 552 + 7 = 666.

It is not a de Polignac number, because 100105500505527 - 2⁶ = 100105500505463 is a prime.

It is a super-2 number, since 2×100105500505527² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100105500505491 and 100105500505500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105500503527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505583335788 + ... + 505583335985.

It is an arithmetic number, because the mean of its divisors is an integer number (13145166733062).

Almost surely, 2^{100105500505527} is an apocalyptic number.

100105500505527 is a deficient number, since it is larger than the sum of its proper divisors (57636500291217).

100105500505527 is a wasteful number, since it uses less digits than its factorization.

100105500505527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011166671790 (or 1011166671787 counting only the distinct ones).

The product of its (nonzero) digits is 43750, while the sum is 36.

The spelling of 100105500505527 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred five thousand, five hundred twenty-seven".