557342100 has 288 divisors, whose sum is σ = 2105698560. Its totient is φ = 123793920.

The previous prime is 557342089. The next prime is 557342101. The reversal of 557342100 is 1243755.

It is a happy number.

557342100 is a `hidden beast` number, since 557 + 3 + 4 + 2 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557342101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 698902 + ... + 699698.

Almost surely, 2^557342100 is an apocalyptic number.

557342100 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 557342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052849280).

557342100 is an abundant number, since it is smaller than the sum of its proper divisors (1548356460).

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

557342100 is a wasteful number, since it uses less digits than its factorization.

557342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 557342100 is about 23608.0939510160. The cubic root of 557342100 is about 822.9509480422.

Adding to 557342100 its reverse (1243755), we get a palindrome (558585855).

The spelling of 557342100 in words is "five hundred fifty-seven million, three hundred forty-two thousand, one hundred".