165461166100 has 36 divisors (see below), whose sum is σ = 359229180604. Its totient is φ = 66151572480.

The previous prime is 165461166053. The next prime is 165461166149. The reversal of 165461166100 is 1661164561.

It can be written as a sum of positive squares in 6 ways, for example, as 3611048464 + 161850117636 = 60092^2 + 402306^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 165461166100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208467 + ... + 611866.

Almost surely, 2^165461166100 is an apocalyptic number.

165461166100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165461166100 is an abundant number, since it is smaller than the sum of its proper divisors (193768014504).

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

165461166100 is a wasteful number, since it uses less digits than its factorization.

165461166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822364 (or 822357 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 165461166100 in words is "one hundred sixty-five billion, four hundred sixty-one million, one hundred sixty-six thousand, one hundred".