56100100 has 81 divisors (see below), whose sum is σ = 142948533. Its totient is φ = 19054560.

The previous prime is 56100073. The next prime is 56100101. The reversal of 56100100 is 100165.

The square root of 56100100 is 7490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20196036 + 35904064 = 4494^2 + 5992^2 .

It is not an unprimeable number, because it can be changed into a prime (56100101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 524247 + ... + 524353.

Almost surely, 2^56100100 is an apocalyptic number.

56100100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56100100 is the 7490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56100100

56100100 is an abundant number, since it is smaller than the sum of its proper divisors (86848433).

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

56100100 is a wasteful number, since it uses less digits than its factorization.

56100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The cubic root of 56100100 is about 382.8140584971.

Adding to 56100100 its reverse (100165), we get a palindrome (56200265).

The spelling of 56100100 in words is "fifty-six million, one hundred thousand, one hundred".