100505000511 has 24 divisors (see below), whose sum is σ = 152858625920. Its totient is φ = 63458563536.

The previous prime is 100505000437. The next prime is 100505000527. The reversal of 100505000511 is 115000505001.

100505000511 is a `hidden beast` number, since 100 + 5 + 0 + 50 + 0 + 0 + 511 = 666.

It is not a de Polignac number, because 100505000511 - 2⁹ = 100504999999 is a prime.

It is a super-2 number, since 2×100505000511² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100505000581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523686 + ... + 689388.

Almost surely, 2^100505000511 is an apocalyptic number.

100505000511 is a deficient number, since it is larger than the sum of its proper divisors (52353625409).

100505000511 is a wasteful number, since it uses less digits than its factorization.

100505000511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169275 (or 169272 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

Adding to 100505000511 its reverse (115000505001), we get a palindrome (215505505512).

The spelling of 100505000511 in words is "one hundred billion, five hundred five million, five hundred eleven", and thus it is an aban number.