100505105000550 has 144 divisors (see below), whose sum is σ = 284778973901760. Its totient is φ = 25342213936320.

The previous prime is 100505105000539. The next prime is 100505105000563. The reversal of 100505105000550 is 55000501505001.

100505105000550 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 0 + 5 + 105 + 0 + 0 + 0 + 550 = 666.

It is a super-2 number, since 2×100505105000550² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 6766384 + ... + 15709683.

Almost surely, 2^{100505105000550} is an apocalyptic number.

100505105000550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100505105000550 is an abundant number, since it is smaller than the sum of its proper divisors (184273868901210).

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

100505105000550 is a wasteful number, since it uses less digits than its factorization.

100505105000550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22476627 (or 22476619 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

Adding to 100505105000550 its reverse (55000501505001), we get a palindrome (155505606505551).

The spelling of 100505105000550 in words is "one hundred trillion, five hundred five billion, one hundred five million, five hundred fifty", and thus it is an aban number.