106021215513 has 18 divisors (see below), whose sum is σ = 162680000574. Its totient is φ = 66523113984.

The previous prime is 106021215511. The next prime is 106021215527. The reversal of 106021215513 is 315512120601.

106021215513 is a `hidden beast` number, since 1 + 0 + 602 + 1 + 2 + 1 + 5 + 51 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 70401070224 + 35620145289 = 265332^2 + 188733^2 .

It is not a de Polignac number, because 106021215513 - 2¹ = 106021215511 is a prime.

It is a super-2 number, since 2×106021215513² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106021215511) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20378256 + ... + 20383457.

Almost surely, 2^106021215513 is an apocalyptic number.

It is an amenable number.

106021215513 is a deficient number, since it is larger than the sum of its proper divisors (56658785061).

106021215513 is a wasteful number, since it uses less digits than its factorization.

106021215513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40761753 (or 40761733 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 106021215513 in words is "one hundred six billion, twenty-one million, two hundred fifteen thousand, five hundred thirteen".