557106105500 has 96 divisors (see below), whose sum is σ = 1411291714560. Its totient is φ = 188156865600.

The previous prime is 557106105481. The next prime is 557106105529. The reversal of 557106105500 is 5501601755.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953360 + ... + 1422359.

It is an arithmetic number, because the mean of its divisors is an integer number (14700955360).

Almost surely, 2^557106105500 is an apocalyptic number.

557106105500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

557106105500 is an abundant number, since it is smaller than the sum of its proper divisors (854185609060).

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

557106105500 is a wasteful number, since it uses less digits than its factorization.

557106105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375812 (or 2375800 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 35.

The spelling of 557106105500 in words is "five hundred fifty-seven billion, one hundred six million, one hundred five thousand, five hundred".