5660100 has 108 divisors (see below), whose sum is σ = 18731440. Its totient is φ = 1425600.

The previous prime is 5660087. The next prime is 5660101. The reversal of 5660100 is 10665.

5660100 is a `hidden beast` number, since 5 + 660 + 1 + 0 + 0 = 666.

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 (5660101) 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, 16935 + ... + 17265.

Almost surely, 2^5660100 is an apocalyptic number.

5660100 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 5660100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9365720).

5660100 is an abundant number, since it is smaller than the sum of its proper divisors (13071340).

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

5660100 is a wasteful number, since it uses less digits than its factorization.

5660100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

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

The square root of 5660100 is about 2379.0964671488. The cubic root of 5660100 is about 178.2138153573.

Adding to 5660100 its reverse (10665), we get a palindrome (5670765).

The spelling of 5660100 in words is "five million, six hundred sixty thousand, one hundred".