51105555555100 has 72 divisors (see below), whose sum is σ = 117859045444560. Its totient is φ = 19168215198720.

The previous prime is 51105555555013. The next prime is 51105555555101. The reversal of 51105555555100 is 155555550115.

It is a happy number.

It is a super-2 number, since 2×51105555555100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51105555555101) 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, 55420194 + ... + 56334793.

It is an arithmetic number, because the mean of its divisors is an integer number (1636931186730).

Almost surely, 2^{51105555555100} is an apocalyptic number.

51105555555100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51105555555100 is an abundant number, since it is smaller than the sum of its proper divisors (66753489889460).

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

51105555555100 is a wasteful number, since it uses less digits than its factorization.

51105555555100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111755287 (or 111755280 counting only the distinct ones).

The product of its (nonzero) digits is 390625, while the sum is 43.

The spelling of 51105555555100 in words is "fifty-one trillion, one hundred five billion, five hundred fifty-five million, five hundred fifty-five thousand, one hundred".