1020144105 has 64 divisors (see below), whose sum is σ = 1915392000. Its totient is φ = 513729216.

The previous prime is 1020144079. The next prime is 1020144113. The reversal of 1020144105 is 5014410201.

It is not a de Polignac number, because 1020144105 - 2¹⁶ = 1020078569 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 1187166 + ... + 1188024.

It is an arithmetic number, because the mean of its divisors is an integer number (29928000).

Almost surely, 2^1020144105 is an apocalyptic number.

1020144105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020144105 is a deficient number, since it is larger than the sum of its proper divisors (895247895).

1020144105 is a wasteful number, since it uses less digits than its factorization.

1020144105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1020144105 is about 31939.6948169515. The cubic root of 1020144105 is about 1006.6701123493.

Adding to 1020144105 its reverse (5014410201), we get a palindrome (6034554306).

The spelling of 1020144105 in words is "one billion, twenty million, one hundred forty-four thousand, one hundred five".