671600106 has 64 divisors (see below), whose sum is σ = 1586793600. Its totient is φ = 209952000.

The previous prime is 671600077. The next prime is 671600107. The reversal of 671600106 is 601006176.

671600106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×671600106² = 902093404758422472, which contains 22 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 671600106.

It is not an unprimeable number, because it can be changed into a prime (671600107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100386 + ... + 106866.

It is an arithmetic number, because the mean of its divisors is an integer number (24793650).

Almost surely, 2^671600106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671600106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793396800).

671600106 is an abundant number, since it is smaller than the sum of its proper divisors (915193494).

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

671600106 is a wasteful number, since it uses less digits than its factorization.

671600106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 671600106 is about 25915.2485228292. The cubic root of 671600106 is about 875.7300491146.

The spelling of 671600106 in words is "six hundred seventy-one million, six hundred thousand, one hundred six".