51105001101066 has 64 divisors (see below), whose sum is σ = 124607044448640. Its totient is φ = 15396847384320.

The previous prime is 51105001101031. The next prime is 51105001101101. The reversal of 51105001101066 is 66010110050115.

51105001101066 is a `hidden beast` number, since 51 + 1 + 0 + 500 + 1 + 1 + 0 + 106 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (51105001101031) and next prime (51105001101101).

It is a super-2 number, since 2×51105001101066² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248554335 + ... + 248759858.

It is an arithmetic number, because the mean of its divisors is an integer number (1946985069510).

Almost surely, 2^{51105001101066} is an apocalyptic number.

51105001101066 is an abundant number, since it is smaller than the sum of its proper divisors (73502043347574).

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

51105001101066 is a wasteful number, since it uses less digits than its factorization.

51105001101066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497314388 (or 497314382 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 51105001101066 in words is "fifty-one trillion, one hundred five billion, one million, one hundred one thousand, sixty-six".