1680107100 has 216 divisors, whose sum is σ = 5809471920. Its totient is φ = 373524480.

The previous prime is 1680107081. The next prime is 1680107119. The reversal of 1680107100 is 17010861.

It is an interprime number because it is at equal distance from previous prime (1680107081) and next prime (1680107119).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 542356 + ... + 545444.

Almost surely, 2^1680107100 is an apocalyptic number.

1680107100 is a gapful number since it is divisible by the number (10) 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 1680107100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904735960).

1680107100 is an abundant number, since it is smaller than the sum of its proper divisors (4129364820).

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

1680107100 is a wasteful number, since it uses less digits than its factorization.

1680107100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 1680107100 is about 40989.1095292396. The cubic root of 1680107100 is about 1188.8096516841.

Adding to 1680107100 its reverse (17010861), we get a palindrome (1697117961).

The spelling of 1680107100 in words is "one billion, six hundred eighty million, one hundred seven thousand, one hundred".