10005111106077 has 8 divisors (see below), whose sum is σ = 13920154582464. Its totient is φ = 6380070850208.

The previous prime is 10005111106061. The next prime is 10005111106079. The reversal of 10005111106077 is 77060111150001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005111106077 - 2⁴ = 10005111106061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005111106079) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72500805048 + ... + 72500805185.

It is an arithmetic number, because the mean of its divisors is an integer number (1740019322808).

Almost surely, 2^{10005111106077} is an apocalyptic number.

It is an amenable number.

10005111106077 is a deficient number, since it is larger than the sum of its proper divisors (3915043476387).

10005111106077 is a wasteful number, since it uses less digits than its factorization.

10005111106077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145001610259.

The product of its (nonzero) digits is 1470, while the sum is 30.

Adding to 10005111106077 its reverse (77060111150001), we get a palindrome (87065222256078).

The spelling of 10005111106077 in words is "ten trillion, five billion, one hundred eleven million, one hundred six thousand, seventy-seven".