106771661763101 has 8 divisors (see below), whose sum is σ = 106799768550720. Its totient is φ = 106743555712288.

The previous prime is 106771661762951. The next prime is 106771661763121. The reversal of 106771661763101 is 101367166177601.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106771661763101 is a prime.

It is a super-3 number, since 3×106771661763101³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106771661763121) 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, 405645305 + ... + 405908433.

It is an arithmetic number, because the mean of its divisors is an integer number (13349971068840).

Almost surely, 2^{106771661763101} is an apocalyptic number.

It is an amenable number.

106771661763101 is a deficient number, since it is larger than the sum of its proper divisors (28106787619).

106771661763101 is a wasteful number, since it uses less digits than its factorization.

106771661763101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368403.

The product of its (nonzero) digits is 1333584, while the sum is 53.

The spelling of 106771661763101 in words is "one hundred six trillion, seven hundred seventy-one billion, six hundred sixty-one million, seven hundred sixty-three thousand, one hundred one".