51100106000 has 80 divisors (see below), whose sum is σ = 123657429168. Its totient is φ = 20423936000.

The previous prime is 51100105961. The next prime is 51100106011. The reversal of 51100106000 is 60100115.

It can be written as a sum of positive squares in 8 ways, for example, as 8033895424 + 43066210576 = 89632^2 + 207524^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×51100106000² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2712614 + ... + 2731386.

Almost surely, 2^51100106000 is an apocalyptic number.

51100106000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51100106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61828714584).

51100106000 is an abundant number, since it is smaller than the sum of its proper divisors (72557323168).

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

51100106000 is a wasteful number, since it uses less digits than its factorization.

51100106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20157 (or 20141 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 51100106000 its reverse (60100115), we get a palindrome (51160206115).

The spelling of 51100106000 in words is "fifty-one billion, one hundred million, one hundred six thousand".