5655610100 has 72 divisors (see below), whose sum is σ = 14039101440. Its totient is φ = 1937243520.

The previous prime is 5655610067. The next prime is 5655610117. The reversal of 5655610100 is 10165565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 892142 + ... + 898458.

It is an arithmetic number, because the mean of its divisors is an integer number (194987520).

Almost surely, 2^5655610100 is an apocalyptic number.

5655610100 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 5655610100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019550720).

5655610100 is an abundant number, since it is smaller than the sum of its proper divisors (8383491340).

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

5655610100 is a wasteful number, since it uses less digits than its factorization.

5655610100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7617 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 5655610100 is about 75203.7904629813. The cubic root of 5655610100 is about 1781.6667991917. Note that the first 3 decimals are identical.

Adding to 5655610100 its reverse (10165565), we get a palindrome (5665775665).

The spelling of 5655610100 in words is "five billion, six hundred fifty-five million, six hundred ten thousand, one hundred".