675667560100 has 81 divisors (see below), whose sum is σ = 1587909977283. Its totient is φ = 249437797440.

The previous prime is 675667559999. The next prime is 675667560199. The reversal of 675667560100 is 1065766576.

It is a happy number.

The square root of 675667560100 is 821990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 174154313124 + 501513246976 = 417318^2 + 708176^2 .

It is a super-2 number, since 2×675667560100² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 106855539 + ... + 106861861.

Almost surely, 2^675667560100 is an apocalyptic number.

675667560100 is the 821990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675667560100

675667560100 is an abundant number, since it is smaller than the sum of its proper divisors (912242417183).

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

675667560100 is an equidigital number, since it uses as much as digits as its factorization.

675667560100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12686 (or 6343 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

Multiplying 675667560100 by its sum of digits (49), we get a square (33107710444900 = 5753930²).

The spelling of 675667560100 in words is "six hundred seventy-five billion, six hundred sixty-seven million, five hundred sixty thousand, one hundred".