106009682913 has 24 divisors (see below), whose sum is σ = 154780425800. Its totient is φ = 69909848064.

The previous prime is 106009682893. The next prime is 106009682957. The reversal of 106009682913 is 319286900601.

It is a happy number.

106009682913 is a `hidden beast` number, since 1 + 0 + 600 + 9 + 6 + 8 + 29 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63087373584 + 42922309329 = 251172^2 + 207177^2 .

It is not a de Polignac number, because 106009682913 - 2⁸ = 106009682657 is a prime.

It is a super-2 number, since 2×106009682913² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106009682963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1794633 + ... + 1852761.

Almost surely, 2^106009682913 is an apocalyptic number.

It is an amenable number.

106009682913 is a deficient number, since it is larger than the sum of its proper divisors (48770742887).

106009682913 is a wasteful number, since it uses less digits than its factorization.

106009682913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60321 (or 60318 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 106009682913 in words is "one hundred six billion, nine million, six hundred eighty-two thousand, nine hundred thirteen".