105505505501 has 8 divisors (see below), whose sum is σ = 117773588064. Its totient is φ = 93683535120.

The previous prime is 105505505477. The next prime is 105505505531.

105505505501 is nontrivially palindromic in base 10.

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 105505505501 - 2⁶ = 105505505437 is a prime.

It is a super-2 number, since 2×105505505501² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505505531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111527546 + ... + 111528491.

It is an arithmetic number, because the mean of its divisors is an integer number (14721698508).

Almost surely, 2^105505505501 is an apocalyptic number.

105505505501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105505505501 is a deficient number, since it is larger than the sum of its proper divisors (12268082563).

105505505501 is a wasteful number, since it uses less digits than its factorization.

105505505501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223056091.

The product of its (nonzero) digits is 15625, while the sum is 32.

The spelling of 105505505501 in words is "one hundred five billion, five hundred five million, five hundred five thousand, five hundred one".