105551061 has 32 divisors (see below), whose sum is σ = 184704000. Its totient is φ = 51943680.

The previous prime is 105551057. The next prime is 105551081. The reversal of 105551061 is 160155501.

It is not a de Polignac number, because 105551061 - 2² = 105551057 is a prime.

It is a super-2 number, since 2×105551061² = 22282052956451442, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105551041) 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 31 ways as a sum of consecutive naturals, for example, 7636 + ... + 16413.

It is an arithmetic number, because the mean of its divisors is an integer number (5772000).

Almost surely, 2^105551061 is an apocalyptic number.

105551061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105551061 is a deficient number, since it is larger than the sum of its proper divisors (79152939).

105551061 is a wasteful number, since it uses less digits than its factorization.

105551061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24089.

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 105551061 is about 10273.8046019963. The cubic root of 105551061 is about 472.5932718083.

The spelling of 105551061 in words is "one hundred five million, five hundred fifty-one thousand, sixty-one".