105500061 has 12 divisors (see below), whose sum is σ = 156508092. Its totient is φ = 68432256.

The previous prime is 105500053. The next prime is 105500063. The reversal of 105500061 is 160005501.

105500061 is a `hidden beast` number, since 105 + 500 + 0 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72080100 + 33419961 = 8490^2 + 5781^2 .

It is not a de Polignac number, because 105500061 - 2³ = 105500053 is a prime.

It is a super-2 number, since 2×105500061² = 22260525742007442, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500063) 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, 158076 + ... + 158741.

It is an arithmetic number, because the mean of its divisors is an integer number (13042341).

Almost surely, 2^105500061 is an apocalyptic number.

It is an amenable number.

105500061 is a deficient number, since it is larger than the sum of its proper divisors (51008031).

105500061 is a wasteful number, since it uses less digits than its factorization.

105500061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316860 (or 316857 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105500061 is about 10271.3222615202. The cubic root of 105500061 is about 472.5171439148.

Adding to 105500061 its reverse (160005501), we get a palindrome (265505562).

The spelling of 105500061 in words is "one hundred five million, five hundred thousand, sixty-one".