105505105101 has 64 divisors (see below), whose sum is σ = 164727447552. Its totient is φ = 59356800000.

The previous prime is 105505105081. The next prime is 105505105129. The reversal of 105505105101 is 101501505501.

It is not a de Polignac number, because 105505105101 - 2³⁰ = 104431363277 is a prime.

It is a super-2 number, since 2×105505105101² (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 (105505105141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15351696 + ... + 15358566.

It is an arithmetic number, because the mean of its divisors is an integer number (2573866368).

Almost surely, 2^105505105101 is an apocalyptic number.

105505105101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105505105101 is a deficient number, since it is larger than the sum of its proper divisors (59222342451).

105505105101 is a wasteful number, since it uses less digits than its factorization.

105505105101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274.

The product of its (nonzero) digits is 625, while the sum is 24.

The spelling of 105505105101 in words is "one hundred five billion, five hundred five million, one hundred five thousand, one hundred one".