106209057815 has 8 divisors (see below), whose sum is σ = 145658136480. Its totient is φ = 72829068192.

The previous prime is 106209057791. The next prime is 106209057817. The reversal of 106209057815 is 518750902601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106209057815 - 2⁶ = 106209057751 is a prime.

It is a super-4 number, since 4×106209057815⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106209057817) 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 7 ways as a sum of consecutive naturals, for example, 1517272220 + ... + 1517272289.

It is an arithmetic number, because the mean of its divisors is an integer number (18207267060).

Almost surely, 2^106209057815 is an apocalyptic number.

106209057815 is a deficient number, since it is larger than the sum of its proper divisors (39449078665).

106209057815 is an equidigital number, since it uses as much as digits as its factorization.

106209057815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034544521.

The product of its (nonzero) digits is 151200, while the sum is 44.

The spelling of 106209057815 in words is "one hundred six billion, two hundred nine million, fifty-seven thousand, eight hundred fifteen".