106848147817385 has 8 divisors (see below), whose sum is σ = 138080683333320. Its totient is φ = 78903247618944.

The previous prime is 106848147817379. The next prime is 106848147817387. The reversal of 106848147817385 is 583718741848601.

It can be written as a sum of positive squares in 4 ways, for example, as 14170790176921 + 92677357640464 = 3764411^2 + 9626908^2 .

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 106848147817385 - 2²⁰ = 106848146768809 is a prime.

It is a super-2 number, since 2×106848147817385² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106848147817387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 821908829300 + ... + 821908829429.

It is an arithmetic number, because the mean of its divisors is an integer number (17260085416665).

Almost surely, 2^{106848147817385} is an apocalyptic number.

It is an amenable number.

106848147817385 is a deficient number, since it is larger than the sum of its proper divisors (31232535515935).

106848147817385 is a wasteful number, since it uses less digits than its factorization.

106848147817385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643817658747.

The product of its (nonzero) digits is 289013760, while the sum is 71.

The spelling of 106848147817385 in words is "one hundred six trillion, eight hundred forty-eight billion, one hundred forty-seven million, eight hundred seventeen thousand, three hundred eighty-five".