2067585168100 has 27 divisors (see below), whose sum is σ = 4486691017641. Its totient is φ = 827028315600.

The previous prime is 2067585168059. The next prime is 2067585168109. The reversal of 2067585168100 is 18615857602.

The square root of 2067585168100 is 1437910.

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

It can be written as a sum of positive squares in only one way, i.e., 744330660516 + 1323254507584 = 862746^2 + 1150328^2 .

It is a super-2 number, since 2×2067585168100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2067585168109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14307205 + ... + 14450995.

Almost surely, 2^{2067585168100} is an apocalyptic number.

2067585168100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2067585168100 is the 1437910-th square number.

It is an amenable number.

2067585168100 is an abundant number, since it is smaller than the sum of its proper divisors (2419105849541).

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

2067585168100 is an frugal number, since it uses more digits than its factorization.

2067585168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287596 (or 143798 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 49.

Multiplying 2067585168100 by its sum of digits (49), we get a square (101311673236900 = 10065370²).

The spelling of 2067585168100 in words is "two trillion, sixty-seven billion, five hundred eighty-five million, one hundred sixty-eight thousand, one hundred".