101322320 has 80 divisors (see below), whose sum is σ = 259858368. Its totient is φ = 36433920.

The previous prime is 101322301. The next prime is 101322373. The reversal of 101322320 is 23223101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 101322295 and 101322304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84767 + ... + 85953.

Almost surely, 2^101322320 is an apocalyptic number.

101322320 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 101322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129929184).

101322320 is an abundant number, since it is smaller than the sum of its proper divisors (158536048).

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

101322320 is a wasteful number, since it uses less digits than its factorization.

101322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 101322320 is about 10065.8988669666. The cubic root of 101322320 is about 466.1958198800.

Adding to 101322320 its reverse (23223101), we get a palindrome (124545421).

The spelling of 101322320 in words is "one hundred one million, three hundred twenty-two thousand, three hundred twenty".