101023320 has 128 divisors (see below), whose sum is σ = 317211840. Its totient is φ = 25712640.

The previous prime is 101023319. The next prime is 101023339. The reversal of 101023320 is 23320101.

It is a happy number.

It is a super-2 number, since 2×101023320² = 20411422367644800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101023296 and 101023305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270654 + ... + 271026.

Almost surely, 2^101023320 is an apocalyptic number.

101023320 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 101023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158605920).

101023320 is an abundant number, since it is smaller than the sum of its proper divisors (216188520).

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

101023320 is a wasteful number, since it uses less digits than its factorization.

101023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 101023320 is about 10051.0357675217. The cubic root of 101023320 is about 465.7367900888.

Adding to 101023320 its reverse (23320101), we get a palindrome (124343421).

The spelling of 101023320 in words is "one hundred one million, twenty-three thousand, three hundred twenty".