5105505606100 has 18 divisors (see below), whose sum is σ = 11078947165454. Its totient is φ = 2042202242400.

The previous prime is 5105505606029. The next prime is 5105505606107. The reversal of 5105505606100 is 16065055015.

It can be written as a sum of positive squares in 3 ways, for example, as 1170027295684 + 3935478310416 = 1081678^2 + 1983804^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5105505606107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25527527931 + ... + 25527528130.

Almost surely, 2^{5105505606100} is an apocalyptic number.

5105505606100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5105505606100 is an abundant number, since it is smaller than the sum of its proper divisors (5973441559354).

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

5105505606100 is a wasteful number, since it uses less digits than its factorization.

5105505606100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51055056075 (or 51055056068 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 5105505606100 in words is "five trillion, one hundred five billion, five hundred five million, six hundred six thousand, one hundred".