165204434100 has 144 divisors (see below), whose sum is σ = 481790163456. Its totient is φ = 43705200000.

The previous prime is 165204434099. The next prime is 165204434107. The reversal of 165204434100 is 1434402561.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165204434107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42897175 + ... + 42901025.

It is an arithmetic number, because the mean of its divisors is an integer number (3345765024).

Almost surely, 2^165204434100 is an apocalyptic number.

165204434100 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 165204434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240895081728).

165204434100 is an abundant number, since it is smaller than the sum of its proper divisors (316585729356).

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

165204434100 is a wasteful number, since it uses less digits than its factorization.

165204434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4959 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 165204434100 its reverse (1434402561), we get a palindrome (166638836661).

The spelling of 165204434100 in words is "one hundred sixty-five billion, two hundred four million, four hundred thirty-four thousand, one hundred".