153320100 has 72 divisors (see below), whose sum is σ = 458928960. Its totient is φ = 39473280.

The previous prime is 153320029. The next prime is 153320107. The reversal of 153320100 is 1023351.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 153320100.

It is not an unprimeable number, because it can be changed into a prime (153320107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112 + ... + 17511.

Almost surely, 2^153320100 is an apocalyptic number.

153320100 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 153320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229464480).

153320100 is an abundant number, since it is smaller than the sum of its proper divisors (305608860).

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

153320100 is a wasteful number, since it uses less digits than its factorization.

153320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17669 (or 17662 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 153320100 is about 12382.2493917705. The cubic root of 153320100 is about 535.2208596954.

Adding to 153320100 its reverse (1023351), we get a palindrome (154343451).

The spelling of 153320100 in words is "one hundred fifty-three million, three hundred twenty thousand, one hundred".