108901300320 has 144 divisors (see below), whose sum is σ = 371850085152. Its totient is φ = 29022812160.

The previous prime is 108901300307. The next prime is 108901300327. The reversal of 108901300320 is 23003109801.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×108901300320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108901300327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2456269 + ... + 2500211.

It is an arithmetic number, because the mean of its divisors is an integer number (2582292258).

Almost surely, 2^108901300320 is an apocalyptic number.

108901300320 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 108901300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185925042576).

108901300320 is an abundant number, since it is smaller than the sum of its proper divisors (262948784832).

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

108901300320 is a wasteful number, since it uses less digits than its factorization.

108901300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45685 (or 45674 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 108901300320 in words is "one hundred eight billion, nine hundred one million, three hundred thousand, three hundred twenty".