66100056 has 128 divisors (see below), whose sum is σ = 189768960. Its totient is φ = 19008000.

The previous prime is 66100051. The next prime is 66100079. The reversal of 66100056 is 65000166.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 66099999 and 66100035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66100051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654406 + ... + 654506.

It is an arithmetic number, because the mean of its divisors is an integer number (1482570).

Almost surely, 2^66100056 is an apocalyptic number.

66100056 is a gapful number since it is divisible by the number (66) 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 66100056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94884480).

66100056 is an abundant number, since it is smaller than the sum of its proper divisors (123668904).

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

66100056 is a wasteful number, since it uses less digits than its factorization.

66100056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66100056 is about 8130.1940936241. The cubic root of 66100056 is about 404.3281162803.

The spelling of 66100056 in words is "sixty-six million, one hundred thousand, fifty-six".