555106000 has 80 divisors (see below), whose sum is σ = 1347445008. Its totient is φ = 221184000.

The previous prime is 555105997. The next prime is 555106001. The reversal of 555106000 is 601555.

It can be written as a sum of positive squares in 8 ways, for example, as 173606976 + 381499024 = 13176^2 + 19532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (555106001) 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 15 ways as a sum of consecutive naturals, for example, 865680 + ... + 866320.

Almost surely, 2^555106000 is an apocalyptic number.

555106000 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 555106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673722504).

555106000 is an abundant number, since it is smaller than the sum of its proper divisors (792339008).

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

555106000 is a wasteful number, since it uses less digits than its factorization.

555106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 555106000 is about 23560.6875960783. The cubic root of 555106000 is about 821.8488917381.

Adding to 555106000 its reverse (601555), we get a palindrome (555707555).

The spelling of 555106000 in words is "five hundred fifty-five million, one hundred six thousand".