100105500505503 has 16 divisors (see below), whose sum is σ = 133708000963680. Its totient is φ = 66620015207424.

The previous prime is 100105500505501. The next prime is 100105500505643. The reversal of 100105500505503 is 305505005501001.

It is not a de Polignac number, because 100105500505503 - 2¹ = 100105500505501 is a prime.

It is a super-2 number, since 2×100105500505503² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105500505501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24910203 + ... + 28648371.

It is an arithmetic number, because the mean of its divisors is an integer number (8356750060230).

Almost surely, 2^{100105500505503} is an apocalyptic number.

100105500505503 is a deficient number, since it is larger than the sum of its proper divisors (33602500458177).

100105500505503 is a wasteful number, since it uses less digits than its factorization.

100105500505503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753818.

The product of its (nonzero) digits is 9375, while the sum is 30.

The spelling of 100105500505503 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred five thousand, five hundred three".