101001105 has 24 divisors (see below), whose sum is σ = 177290880. Its totient is φ = 53183520.

The previous prime is 101001091. The next prime is 101001133. The reversal of 101001105 is 501100101.

It is not a de Polignac number, because 101001105 - 2⁶ = 101001041 is a prime.

It is a super-2 number, since 2×101001105² = 20402446422442050, 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, 10651 + ... + 17760.

It is an arithmetic number, because the mean of its divisors is an integer number (7387120).

Almost surely, 2^101001105 is an apocalyptic number.

101001105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101001105 is a deficient number, since it is larger than the sum of its proper divisors (76289775).

101001105 is a wasteful number, since it uses less digits than its factorization.

101001105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28501 (or 28498 counting only the distinct ones).

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

The square root of 101001105 is about 10049.9305967753. The cubic root of 101001105 is about 465.7026491225.

Adding to 101001105 its reverse (501100101), we get a palindrome (602101206).

The spelling of 101001105 in words is "one hundred one million, one thousand, one hundred five".