100732320 has 144 divisors (see below), whose sum is σ = 370260072. Its totient is φ = 24791040.

The previous prime is 100732309. The next prime is 100732321. The reversal of 100732320 is 23237001.

It can be written as a sum of positive squares in 4 ways, for example, as 54110736 + 46621584 = 7356^2 + 6828^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100732293 and 100732302.

It is not an unprimeable number, because it can be changed into a prime (100732321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16030 + ... + 21410.

Almost surely, 2^100732320 is an apocalyptic number.

100732320 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 100732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185130036).

100732320 is an abundant number, since it is smaller than the sum of its proper divisors (269527752).

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

100732320 is a wasteful number, since it uses less digits than its factorization.

100732320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5404 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 100732320 is about 10036.5492077706. The cubic root of 100732320 is about 465.2891715045.

Adding to 100732320 its reverse (23237001), we get a palindrome (123969321).

The spelling of 100732320 in words is "one hundred million, seven hundred thirty-two thousand, three hundred twenty".