165600060100 has 72 divisors (see below), whose sum is σ = 381790954440. Its totient is φ = 62227307520.

The previous prime is 165600060097. The next prime is 165600060149. The reversal of 165600060100 is 1060006561.

It can be written as a sum of positive squares in 12 ways, for example, as 15687061504 + 149912998596 = 125248^2 + 387186^2 .

It is a super-2 number, since 2×165600060100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 664369 + ... + 878968.

It is an arithmetic number, because the mean of its divisors is an integer number (5302652145).

Almost surely, 2^165600060100 is an apocalyptic number.

165600060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165600060100 is an abundant number, since it is smaller than the sum of its proper divisors (216190894340).

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

165600060100 is a wasteful number, since it uses less digits than its factorization.

165600060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543417 (or 1543410 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 165600060100 its reverse (1060006561), we get a palindrome (166660066661).

It can be divided in two parts, 1656000 and 60100, that added together give a square (1716100 = 1310²).

The spelling of 165600060100 in words is "one hundred sixty-five billion, six hundred million, sixty thousand, one hundred".