51510106100145 has 384 divisors, whose sum is σ = 111859672522752. Its totient is φ = 19944581529600.

The previous prime is 51510106100119. The next prime is 51510106100149. The reversal of 51510106100145 is 54100160101515.

It is not a de Polignac number, because 51510106100145 - 2⁵ = 51510106100113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51510106100149) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7796289432 + ... + 7796296038.

It is an arithmetic number, because the mean of its divisors is an integer number (291301230528).

Almost surely, 2^{51510106100145} is an apocalyptic number.

51510106100145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51510106100145 is an abundant number, since it is smaller than the sum of its proper divisors (60349566422607).

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

51510106100145 is a wasteful number, since it uses less digits than its factorization.

51510106100145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7221 (or 7214 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

The spelling of 51510106100145 in words is "fifty-one trillion, five hundred ten billion, one hundred six million, one hundred thousand, one hundred forty-five".