165206263055100 has 144 divisors (see below), whose sum is σ = 493513175801856. Its totient is φ = 42625481184000.

The previous prime is 165206263055047. The next prime is 165206263055107. The reversal of 165206263055100 is 1550362602561.

165206263055100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165206263055107) 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 47 ways as a sum of consecutive naturals, for example, 45563070 + ... + 49055130.

Almost surely, 2^{165206263055100} is an apocalyptic number.

165206263055100 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 165206263055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246756587900928).

165206263055100 is an abundant number, since it is smaller than the sum of its proper divisors (328306912746756).

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

165206263055100 is a wasteful number, since it uses less digits than its factorization.

165206263055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497196 (or 3497189 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 165206263055100 in words is "one hundred sixty-five trillion, two hundred six billion, two hundred sixty-three million, fifty-five thousand, one hundred".