105591101 has 16 divisors (see below), whose sum is σ = 134711808. Its totient is φ = 80362800.

The previous prime is 105591077. The next prime is 105591119. The reversal of 105591101 is 101195501.

It is not a de Polignac number, because 105591101 - 2²² = 101396797 is a prime.

It is a super-2 number, since 2×105591101² = 22298961220784402, 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 (105591401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12635 + ... + 19256.

It is an arithmetic number, because the mean of its divisors is an integer number (8419488).

Almost surely, 2^105591101 is an apocalyptic number.

105591101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105591101 is a deficient number, since it is larger than the sum of its proper divisors (29120707).

105591101 is a wasteful number, since it uses less digits than its factorization.

105591101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31952.

The product of its (nonzero) digits is 225, while the sum is 23.

The square root of 105591101 is about 10275.7530624281. The cubic root of 105591101 is about 472.6530224864.

The spelling of 105591101 in words is "one hundred five million, five hundred ninety-one thousand, one hundred one".