165160100 has 72 divisors (see below), whose sum is σ = 433722240. Its totient is φ = 53291520.

The previous prime is 165160097. The next prime is 165160109. The reversal of 165160100 is 1061561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (165160109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4961 + ... + 18839.

It is an arithmetic number, because the mean of its divisors is an integer number (6023920).

Almost surely, 2^165160100 is an apocalyptic number.

165160100 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 165160100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216861120).

165160100 is an abundant number, since it is smaller than the sum of its proper divisors (268562140).

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

165160100 is a wasteful number, since it uses less digits than its factorization.

165160100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13917 (or 13910 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 165160100 is about 12851.4629517421. The cubic root of 165160100 is about 548.6579953783.

The spelling of 165160100 in words is "one hundred sixty-five million, one hundred sixty thousand, one hundred".