10005111073 has 2 divisors, whose sum is σ = 10005111074. Its totient is φ = 10005111072.

The previous prime is 10005111049. The next prime is 10005111101. The reversal of 10005111073 is 37011150001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8628923664 + 1376187409 = 92892^2 + 37097^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005111073 - 2¹³ = 10005102881 is a prime.

It is a super-2 number, since 2×10005111073² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10005111073.

It is not a weakly prime, because it can be changed into another prime (10005111023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002555536 + 5002555537.

It is an arithmetic number, because the mean of its divisors is an integer number (5002555537).

Almost surely, 2^10005111073 is an apocalyptic number.

It is an amenable number.

10005111073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005111073 is an equidigital number, since it uses as much as digits as its factorization.

10005111073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105, while the sum is 19.

Adding to 10005111073 its reverse (37011150001), we get a palindrome (47016261074).

The spelling of 10005111073 in words is "ten billion, five million, one hundred eleven thousand, seventy-three".