101006361 has 12 divisors (see below), whose sum is σ = 146315988. Its totient is φ = 67144704.

The previous prime is 101006359. The next prime is 101006417. The reversal of 101006361 is 163600101.

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 42575625 = 7644^2 + 6525^2 .

It is not a de Polignac number, because 101006361 - 2¹ = 101006359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101006341) 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 11 ways as a sum of consecutive naturals, for example, 12720 + ... + 19073.

It is an arithmetic number, because the mean of its divisors is an integer number (12192999).

Almost surely, 2^101006361 is an apocalyptic number.

It is an amenable number.

101006361 is a deficient number, since it is larger than the sum of its proper divisors (45309627).

101006361 is a wasteful number, since it uses less digits than its factorization.

101006361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32152 (or 32149 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101006361 is about 10050.1920877165. The cubic root of 101006361 is about 465.7107272212.

Adding to 101006361 its reverse (163600101), we get a palindrome (264606462).

It can be divided in two parts, 10100 and 6361, that added together give a palindrome (16461).

The spelling of 101006361 in words is "one hundred one million, six thousand, three hundred sixty-one".