101320000 has 140 divisors (see below), whose sum is σ = 267804900. Its totient is φ = 37888000.

The previous prime is 101319973. The next prime is 101320001. The reversal of 101320000 is 23101.

It can be written as a sum of positive squares in 10 ways, for example, as 83612736 + 17707264 = 9144^2 + 4208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320001) 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 19 ways as a sum of consecutive naturals, for example, 679926 + ... + 680074.

Almost surely, 2^101320000 is an apocalyptic number.

101320000 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 101320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133902450).

101320000 is an abundant number, since it is smaller than the sum of its proper divisors (166484900).

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

101320000 is an equidigital number, since it uses as much as digits as its factorization.

101320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

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

The square root of 101320000 is about 10065.7836257293. The cubic root of 101320000 is about 466.1922616559.

Adding to 101320000 its reverse (23101), we get a palindrome (101343101).

The spelling of 101320000 in words is "one hundred one million, three hundred twenty thousand".