100505755103 has 8 divisors (see below), whose sum is σ = 108239625648. Its totient is φ = 92772264384.

The previous prime is 100505755079. The next prime is 100505755111. The reversal of 100505755103 is 301557505001.

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 100505755103 - 2¹⁰ = 100505754079 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100505755103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100505755183) 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, 703076 + ... + 833862.

It is an arithmetic number, because the mean of its divisors is an integer number (13529953206).

Almost surely, 2^100505755103 is an apocalyptic number.

100505755103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100505755103 is a deficient number, since it is larger than the sum of its proper divisors (7733870545).

100505755103 is a wasteful number, since it uses less digits than its factorization.

100505755103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189913.

The product of its (nonzero) digits is 13125, while the sum is 32.

The spelling of 100505755103 in words is "one hundred billion, five hundred five million, seven hundred fifty-five thousand, one hundred three".