101305380 has 96 divisors (see below), whose sum is σ = 327680640. Its totient is φ = 23111680.

The previous prime is 101305367. The next prime is 101305387. The reversal of 101305380 is 83503101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101305387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6706 + ... + 15734.

It is an arithmetic number, because the mean of its divisors is an integer number (3413340).

Almost surely, 2^101305380 is an apocalyptic number.

101305380 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 101305380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163840320).

101305380 is an abundant number, since it is smaller than the sum of its proper divisors (226375260).

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

101305380 is a wasteful number, since it uses less digits than its factorization.

101305380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069 (or 9067 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 101305380 is about 10065.0573768856. The cubic root of 101305380 is about 466.1698374596.

Adding to 101305380 its reverse (83503101), we get a palindrome (184808481).

The spelling of 101305380 in words is "one hundred one million, three hundred five thousand, three hundred eighty".