51000055100100 has 108 divisors (see below), whose sum is σ = 160451103479940. Its totient is φ = 13549456953600.

The previous prime is 51000055100083. The next prime is 51000055100101. The reversal of 51000055100100 is 100155000015.

51000055100100 is a `hidden beast` number, since 5 + 10 + 0 + 0 + 0 + 551 + 0 + 0 + 100 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14579216339076 + 36420838761024 = 3818274^2 + 6034968^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (51000055100101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105086391 + ... + 105570590.

It is an arithmetic number, because the mean of its divisors is an integer number (1485658365555).

Almost surely, 2^{51000055100100} is an apocalyptic number.

51000055100100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51000055100100 is an abundant number, since it is smaller than the sum of its proper divisors (109451048379840).

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

51000055100100 is a wasteful number, since it uses less digits than its factorization.

51000055100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210657270 (or 210657260 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 51000055100100 in words is "fifty-one trillion, fifty-five million, one hundred thousand, one hundred".