10005111061 has 16 divisors (see below), whose sum is σ = 10958957568. Its totient is φ = 9058719600.

The previous prime is 10005111049. The next prime is 10005111073. The reversal of 10005111061 is 16011150001.

It is an interprime number because it is at equal distance from previous prime (10005111049) and next prime (10005111073).

It is a cyclic number.

It is not a de Polignac number, because 10005111061 - 2¹³ = 10005102869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005811061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4693966 + ... + 4696096.

It is an arithmetic number, because the mean of its divisors is an integer number (684934848).

Almost surely, 2^10005111061 is an apocalyptic number.

10005111061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10005111061 is a deficient number, since it is larger than the sum of its proper divisors (953846507).

10005111061 is a wasteful number, since it uses less digits than its factorization.

10005111061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672.

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 10005111061 its reverse (16011150001), we get a palindrome (26016261062).

The spelling of 10005111061 in words is "ten billion, five million, one hundred eleven thousand, sixty-one".