101124440105 has 32 divisors (see below), whose sum is σ = 131404629888. Its totient is φ = 74265408000.

The previous prime is 101124440093. The next prime is 101124440141. The reversal of 101124440105 is 501044421101.

It is not a de Polignac number, because 101124440105 - 2⁴ = 101124440089 is a prime.

It is a super-2 number, since 2×101124440105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15504245 + ... + 15510765.

It is an arithmetic number, because the mean of its divisors is an integer number (4106394684).

Almost surely, 2^101124440105 is an apocalyptic number.

It is an amenable number.

101124440105 is a deficient number, since it is larger than the sum of its proper divisors (30280189783).

101124440105 is a wasteful number, since it uses less digits than its factorization.

101124440105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7817.

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 101124440105 its reverse (501044421101), we get a palindrome (602168861206).

The spelling of 101124440105 in words is "one hundred one billion, one hundred twenty-four million, four hundred forty thousand, one hundred five".