5106011110000 has 100 divisors (see below), whose sum is σ = 12477700351512. Its totient is φ = 2023316128000.

The previous prime is 5106011109959. The next prime is 5106011110003. The reversal of 5106011110000 is 111106015.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106011110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1315987 + ... + 3455986.

Almost surely, 2^{5106011110000} is an apocalyptic number.

5106011110000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5106011110000 is an abundant number, since it is smaller than the sum of its proper divisors (7371689241512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5106011110000 is a wasteful number, since it uses less digits than its factorization.

5106011110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772108 (or 4772087 counting only the distinct ones).

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

Adding to 5106011110000 its reverse (111106015), we get a palindrome (5106122216015).

The spelling of 5106011110000 in words is "five trillion, one hundred six billion, eleven million, one hundred ten thousand".