101100105 has 24 divisors (see below), whose sum is σ = 185549832. Its totient is φ = 50747904.

The previous prime is 101100089. The next prime is 101100113. The reversal of 101100105 is 501001101.

It can be written as a sum of positive squares in 4 ways, for example, as 23941449 + 77158656 = 4893^2 + 8784^2 .

It is not a de Polignac number, because 101100105 - 2⁴ = 101100089 is a prime.

It is a super-2 number, since 2×101100105² = 20442462462022050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65314 + ... + 66843.

It is an arithmetic number, because the mean of its divisors is an integer number (7731243).

Almost surely, 2^101100105 is an apocalyptic number.

101100105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101100105 is a deficient number, since it is larger than the sum of its proper divisors (84449727).

101100105 is a wasteful number, since it uses less digits than its factorization.

101100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132185 (or 132182 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 101100105 is about 10054.8547975592. The cubic root of 101100105 is about 465.8547580417.

Adding to 101100105 its reverse (501001101), we get a palindrome (602101206).

The spelling of 101100105 in words is "one hundred one million, one hundred thousand, one hundred five".