5105600010100 has 72 divisors (see below), whose sum is σ = 11092809264768. Its totient is φ = 2039723740800.

The previous prime is 5105600010079. The next prime is 5105600010107. The reversal of 5105600010100 is 10100065015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105600010107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 662802849 + ... + 662810551.

It is an arithmetic number, because the mean of its divisors is an integer number (154066795344).

Almost surely, 2^{5105600010100} is an apocalyptic number.

5105600010100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5105600010100 is an abundant number, since it is smaller than the sum of its proper divisors (5987209254668).

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

5105600010100 is a wasteful number, since it uses less digits than its factorization.

5105600010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15025 (or 15018 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 5105600010100 its reverse (10100065015), we get a palindrome (5115700075115).

The spelling of 5105600010100 in words is "five trillion, one hundred five billion, six hundred million, ten thousand, one hundred".