31006106361 has 24 divisors (see below), whose sum is σ = 45467036160. Its totient is φ = 20358000000.

The previous prime is 31006106347. The next prime is 31006106381. The reversal of 31006106361 is 16360160013.

It is a happy number.

31006106361 is a `hidden beast` number, since 3 + 10 + 0 + 6 + 10 + 636 + 1 = 666.

It is not a de Polignac number, because 31006106361 - 2⁶ = 31006106297 is a prime.

It is a super-2 number, since 2×31006106361² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31006106381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230736 + ... + 339486.

It is an arithmetic number, because the mean of its divisors is an integer number (1894459840).

Almost surely, 2^31006106361 is an apocalyptic number.

It is an amenable number.

31006106361 is a deficient number, since it is larger than the sum of its proper divisors (14460929799).

31006106361 is a wasteful number, since it uses less digits than its factorization.

31006106361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109237 (or 109234 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 31006106361 its reverse (16360160013), we get a palindrome (47366266374).

The spelling of 31006106361 in words is "thirty-one billion, six million, one hundred six thousand, three hundred sixty-one".