106815387533409 has 27 divisors (see below), whose sum is σ = 155284961087763. Its totient is φ = 70753465263312.

The previous prime is 106815387533359. The next prime is 106815387533473. The reversal of 106815387533409 is 904335783518601.

The square root of 106815387533409 is 10335153.

It is a perfect power (a square), and thus also a powerful number.

106815387533409 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 1 + 53 + 8 + 7 + 533 + 40 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31309228566225 + 75506158967184 = 5595465^2 + 8689428^2 .

It is not a de Polignac number, because 106815387533409 - 2³³ = 106806797598817 is a prime.

It is a super-2 number, since 2×106815387533409² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106815387533489) 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 26 ways as a sum of consecutive naturals, for example, 4867846092 + ... + 4867868034.

Almost surely, 2^{106815387533409} is an apocalyptic number.

106815387533409 is the 10335153-rd square number.

106815387533409 is the 5167577-th centered octagonal number.

It is an amenable number.

106815387533409 is a deficient number, since it is larger than the sum of its proper divisors (48469573554354).

106815387533409 is an frugal number, since it uses more digits than its factorization.

106815387533409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44206 (or 22103 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 106815387533409 in words is "one hundred six trillion, eight hundred fifteen billion, three hundred eighty-seven million, five hundred thirty-three thousand, four hundred nine".