5106100056120 has 192 divisors, whose sum is σ = 18982503933120. Its totient is φ = 1166063081472.

The previous prime is 5106100056107. The next prime is 5106100056139. The reversal of 5106100056120 is 216500016015.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1907844 + ... + 3721836.

It is an arithmetic number, because the mean of its divisors is an integer number (98867207985).

Almost surely, 2^{5106100056120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106100056120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9491251966560).

5106100056120 is an abundant number, since it is smaller than the sum of its proper divisors (13876403877000).

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

5106100056120 is a wasteful number, since it uses less digits than its factorization.

5106100056120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1815134 (or 1815127 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 5106100056120 in words is "five trillion, one hundred six billion, one hundred million, fifty-six thousand, one hundred twenty".