105505101 has 48 divisors (see below), whose sum is σ = 170986816. Its totient is φ = 62270208.

The previous prime is 105505087. The next prime is 105505129. The reversal of 105505101 is 101505501.

105505101 is a `hidden beast` number, since 10 + 550 + 5 + 101 = 666.

It is not a de Polignac number, because 105505101 - 2⁹ = 105504589 is a prime.

It is a super-2 number, since 2×105505101² = 22262652674040402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336921 + ... + 337233.

Almost surely, 2^105505101 is an apocalyptic number.

It is an amenable number.

105505101 is a deficient number, since it is larger than the sum of its proper divisors (65481715).

105505101 is a wasteful number, since it uses less digits than its factorization.

105505101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 439 counting only the distinct ones).

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

The square root of 105505101 is about 10271.5676018804. The cubic root of 105505101 is about 472.5246682342.

It can be divided in two parts, 10550 and 5101, that added together give a palindrome (15651).

The spelling of 105505101 in words is "one hundred five million, five hundred five thousand, one hundred one".