1020001105 has 16 divisors (see below), whose sum is σ = 1304715600. Its totient is φ = 762836992.

The previous prime is 1020001063. The next prime is 1020001133. The reversal of 1020001105 is 5011000201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29073664 + 990927441 = 5392^2 + 31479^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020001105 - 2²⁵ = 986446673 is a prime.

1020001105 is a modest number, since divided by 1105 gives 1020 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1020001091 and 1020001100.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 27604 + ... + 52933.

It is an arithmetic number, because the mean of its divisors is an integer number (81544725).

Almost surely, 2^1020001105 is an apocalyptic number.

It is an amenable number.

1020001105 is a deficient number, since it is larger than the sum of its proper divisors (284714495).

1020001105 is a wasteful number, since it uses less digits than its factorization.

1020001105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80708.

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 1020001105 is about 31937.4561447840. The cubic root of 1020001105 is about 1006.6230730626.

Adding to 1020001105 its reverse (5011000201), we get a palindrome (6031001306).

The spelling of 1020001105 in words is "one billion, twenty million, one thousand, one hundred five".