106771337817 has 16 divisors (see below), whose sum is σ = 150220552320. Its totient is φ = 67321054592.

The previous prime is 106771337807. The next prime is 106771337857. The reversal of 106771337817 is 718733177601.

It is a cyclic number.

It is not a de Polignac number, because 106771337817 - 2⁶ = 106771337753 is a prime.

It is a super-2 number, since 2×106771337817² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106771337817.

It is not an unprimeable number, because it can be changed into a prime (106771337807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8687178 + ... + 8699459.

It is an arithmetic number, because the mean of its divisors is an integer number (9388784520).

Almost surely, 2^106771337817 is an apocalyptic number.

It is an amenable number.

106771337817 is a deficient number, since it is larger than the sum of its proper divisors (43449214503).

106771337817 is a wasteful number, since it uses less digits than its factorization.

106771337817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17386752.

The product of its (nonzero) digits is 1037232, while the sum is 51.

The spelling of 106771337817 in words is "one hundred six billion, seven hundred seventy-one million, three hundred thirty-seven thousand, eight hundred seventeen".