100101105 has 48 divisors (see below), whose sum is σ = 188370000. Its totient is φ = 48881664.

The previous prime is 100101097. The next prime is 100101107. The reversal of 100101105 is 501101001.

It can be written as a sum of positive squares in 8 ways, for example, as 7017201 + 93083904 = 2649^2 + 9648^2 .

It is not a de Polignac number, because 100101105 - 2³ = 100101097 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100101107) 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 47 ways as a sum of consecutive naturals, for example, 79521 + ... + 80769.

It is an arithmetic number, because the mean of its divisors is an integer number (3924375).

It is the magic constant of a 585 × 585 magic square.

Almost surely, 2^100101105 is an apocalyptic number.

100101105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100101105 is a deficient number, since it is larger than the sum of its proper divisors (88268895).

100101105 is a wasteful number, since it uses less digits than its factorization.

100101105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1407 counting only the distinct ones).

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

The square root of 100101105 is about 10005.0539728679. The cubic root of 100101105 is about 464.3152599513.

Adding to 100101105 its reverse (501101001), we get a palindrome (601202106).

The spelling of 100101105 in words is "one hundred million, one hundred one thousand, one hundred five".