557120100 has 144 divisors (see below), whose sum is σ = 1688516928. Its totient is φ = 141672960.

The previous prime is 557120077. The next prime is 557120101. The reversal of 557120100 is 1021755.

It is not an unprimeable number, because it can be changed into a prime (557120101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587827 + ... + 588773.

It is an arithmetic number, because the mean of its divisors is an integer number (11725812).

Almost surely, 2^557120100 is an apocalyptic number.

557120100 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 557120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844258464).

557120100 is an abundant number, since it is smaller than the sum of its proper divisors (1131396828).

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

557120100 is a wasteful number, since it uses less digits than its factorization.

557120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 557120100 is about 23603.3917054308. The cubic root of 557120100 is about 822.8416678396.

Adding to 557120100 its reverse (1021755), we get a palindrome (558141855).

The spelling of 557120100 in words is "five hundred fifty-seven million, one hundred twenty thousand, one hundred".