101302320 has 160 divisors (see below), whose sum is σ = 380118528. Its totient is φ = 21786624.

The previous prime is 101302309. The next prime is 101302339. The reversal of 101302320 is 23203101.

It is a happy number.

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 = 101302296 and 101302305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26787 + ... + 30333.

Almost surely, 2^101302320 is an apocalyptic number.

101302320 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 101302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190059264).

101302320 is an abundant number, since it is smaller than the sum of its proper divisors (278816208).

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

101302320 is a wasteful number, since it uses less digits than its factorization.

101302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3581 counting only the distinct ones).

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

The square root of 101302320 is about 10064.9053646818. The cubic root of 101302320 is about 466.1651437501.

Adding to 101302320 its reverse (23203101), we get a palindrome (124505421).

The spelling of 101302320 in words is "one hundred one million, three hundred two thousand, three hundred twenty".