101305061 has 16 divisors (see below), whose sum is σ = 119907648. Its totient is φ = 84374400.

The previous prime is 101305021. The next prime is 101305111. The reversal of 101305061 is 160503101.

It is not a de Polignac number, because 101305061 - 2⁶ = 101304997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101305021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 17006 + ... + 22176.

It is an arithmetic number, because the mean of its divisors is an integer number (7494228).

Almost surely, 2^101305061 is an apocalyptic number.

101305061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101305061 is a deficient number, since it is larger than the sum of its proper divisors (18602587).

101305061 is a wasteful number, since it uses less digits than its factorization.

101305061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 101305061 is about 10065.0415299690. The cubic root of 101305061 is about 466.1693481525.

Adding to 101305061 its reverse (160503101), we get a palindrome (261808162).

The spelling of 101305061 in words is "one hundred one million, three hundred five thousand, sixty-one".