101000320 has 32 divisors (see below), whose sum is σ = 241455420. Its totient is φ = 40399872.

The previous prime is 101000311. The next prime is 101000329. The reversal of 101000320 is 23000101.

It is an interprime number because it is at equal distance from previous prime (101000311) and next prime (101000329).

It can be written as a sum of positive squares in 2 ways, for example, as 97930816 + 3069504 = 9896^2 + 1752^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (101000329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78267 + ... + 79546.

Almost surely, 2^101000320 is an apocalyptic number.

101000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000320 is an abundant number, since it is smaller than the sum of its proper divisors (140455100).

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

101000320 is an equidigital number, since it uses as much as digits as its factorization.

101000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157832 (or 157820 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 101000320 is about 10049.8915417033. The cubic root of 101000320 is about 465.7014426093.

Adding to 101000320 its reverse (23000101), we get a palindrome (124000421).

The spelling of 101000320 in words is "one hundred one million, three hundred twenty", and thus it is an aban number.