106868661618657 has 32 divisors (see below), whose sum is σ = 158293408287744. Its totient is φ = 63827987097600.

The previous prime is 106868661618611. The next prime is 106868661618671. The reversal of 106868661618657 is 756816166868601.

It is not a de Polignac number, because 106868661618657 - 2¹⁹ = 106868661094369 is a prime.

It is a super-2 number, since 2×106868661618657² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106868661618157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553965948 + ... + 554158829.

It is an arithmetic number, because the mean of its divisors is an integer number (4946669008992).

Almost surely, 2^{106868661618657} is an apocalyptic number.

106868661618657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106868661618657 is a deficient number, since it is larger than the sum of its proper divisors (51424746669087).

106868661618657 is a wasteful number, since it uses less digits than its factorization.

106868661618657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108124889.

The product of its (nonzero) digits is 836075520, while the sum is 75.

The spelling of 106868661618657 in words is "one hundred six trillion, eight hundred sixty-eight billion, six hundred sixty-one million, six hundred eighteen thousand, six hundred fifty-seven".