105505610061 has 16 divisors (see below), whose sum is σ = 143388947520. Its totient is φ = 68985181440.

The previous prime is 105505610057. The next prime is 105505610129. The reversal of 105505610061 is 160016505501.

It is not a de Polignac number, because 105505610061 - 2² = 105505610057 is a prime.

It is a super-2 number, since 2×105505610061² (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 (105505610261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611670 + ... + 764951.

It is an arithmetic number, because the mean of its divisors is an integer number (8961809220).

Almost surely, 2^105505610061 is an apocalyptic number.

It is an amenable number.

105505610061 is a deficient number, since it is larger than the sum of its proper divisors (37883337459).

105505610061 is a wasteful number, since it uses less digits than its factorization.

105505610061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377116.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105505610061 in words is "one hundred five billion, five hundred five million, six hundred ten thousand, sixty-one".