5066100 has 108 divisors (see below), whose sum is σ = 17140396. Its totient is φ = 1244160.

The previous prime is 5066099. The next prime is 5066107. The reversal of 5066100 is 16605.

5066100 = T₂₆₇ + T₂₆₈ + ... + T₃₆₆.

5066100 is a `hidden beast` number, since 5 + 0 + 661 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1425636 + 3640464 = 1194^2 + 1908^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5066107) 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, 11484 + ... + 11916.

Almost surely, 2^5066100 is an apocalyptic number.

5066100 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 5066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570198).

5066100 is an abundant number, since it is smaller than the sum of its proper divisors (12074296).

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

5066100 is a wasteful number, since it uses less digits than its factorization.

5066100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5066100 is about 2250.7998578283. The cubic root of 5066100 is about 171.7478276900.

The spelling of 5066100 in words is "five million, sixty-six thousand, one hundred".