101330505 has 24 divisors (see below), whose sum is σ = 177620040. Its totient is φ = 53433600.

The previous prime is 101330501. The next prime is 101330507. The reversal of 101330505 is 505033101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5212089 + 96118416 = 2283^2 + 9804^2 .

It is not a de Polignac number, because 101330505 - 2² = 101330501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101330501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8646 + ... + 16655.

It is an arithmetic number, because the mean of its divisors is an integer number (7400835).

Almost surely, 2^101330505 is an apocalyptic number.

101330505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101330505 is a deficient number, since it is larger than the sum of its proper divisors (76289535).

101330505 is a wasteful number, since it uses less digits than its factorization.

101330505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25401 (or 25398 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 101330505 is about 10066.3054295009. The cubic root of 101330505 is about 466.2083729221.

Adding to 101330505 its reverse (505033101), we get a palindrome (606363606).

The spelling of 101330505 in words is "one hundred one million, three hundred thirty thousand, five hundred five".