105000105501 has 12 divisors (see below), whose sum is σ = 151912640412. Its totient is φ = 69886614336.

The previous prime is 105000105467. The next prime is 105000105533. The reversal of 105000105501 is 105501000501.

105000105501 is a `hidden beast` number, since 10 + 50 + 0 + 0 + 105 + 501 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54566624025 + 50433481476 = 233595^2 + 224574^2 .

It is not a de Polignac number, because 105000105501 - 2¹⁰ = 105000104477 is a prime.

It is a super-2 number, since 2×105000105501² (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 (105000105541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9448806 + ... + 9459911.

It is an arithmetic number, because the mean of its divisors is an integer number (12659386701).

Almost surely, 2^105000105501 is an apocalyptic number.

It is an amenable number.

105000105501 is a deficient number, since it is larger than the sum of its proper divisors (46912534911).

105000105501 is a wasteful number, since it uses less digits than its factorization.

105000105501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18909340 (or 18909337 counting only the distinct ones).

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

The spelling of 105000105501 in words is "one hundred five billion, one hundred five thousand, five hundred one".