1680195105 has 24 divisors (see below), whose sum is σ = 2913311232. Its totient is φ = 895804704.

The previous prime is 1680195091. The next prime is 1680195157. The reversal of 1680195105 is 5015910861.

It is not a de Polignac number, because 1680195105 - 2¹⁷ = 1680064033 is a prime.

It is a super-2 number, since 2×1680195105² = 5646111181731922050, which contains 22 as substring.

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 1680195105.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220672 + ... + 228158.

It is an arithmetic number, because the mean of its divisors is an integer number (121387968).

Almost surely, 2^1680195105 is an apocalyptic number.

1680195105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1680195105 is a deficient number, since it is larger than the sum of its proper divisors (1233116127).

1680195105 is a wasteful number, since it uses less digits than its factorization.

1680195105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12485 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 1680195105 is about 40990.1830320383. The cubic root of 1680195105 is about 1188.8304081718.

The spelling of 1680195105 in words is "one billion, six hundred eighty million, one hundred ninety-five thousand, one hundred five".