101305506 has 64 divisors (see below), whose sum is σ = 217236096. Its totient is φ = 31449600.

The previous prime is 101305493. The next prime is 101305543. The reversal of 101305506 is 605503101.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 645180 + ... + 645336.

It is an arithmetic number, because the mean of its divisors is an integer number (3394314).

Almost surely, 2^101305506 is an apocalyptic number.

101305506 is an abundant number, since it is smaller than the sum of its proper divisors (115930590).

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

101305506 is a wasteful number, since it uses less digits than its factorization.

101305506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 101305506 is about 10065.0636361625. The cubic root of 101305506 is about 466.1700307280.

Adding to 101305506 its reverse (605503101), we get a palindrome (706808607).

The spelling of 101305506 in words is "one hundred one million, three hundred five thousand, five hundred six".