106766170901 has 16 divisors (see below), whose sum is σ = 118817825280. Its totient is φ = 95308315200.

The previous prime is 106766170891. The next prime is 106766170943. The reversal of 106766170901 is 109071667601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106766170901 is a prime.

It is a super-2 number, since 2×106766170901² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106766170501) 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, 889061 + ... + 1001978.

It is an arithmetic number, because the mean of its divisors is an integer number (7426114080).

Almost surely, 2^106766170901 is an apocalyptic number.

It is an amenable number.

106766170901 is a deficient number, since it is larger than the sum of its proper divisors (12051654379).

106766170901 is a wasteful number, since it uses less digits than its factorization.

106766170901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891196.

The product of its (nonzero) digits is 95256, while the sum is 44.

The spelling of 106766170901 in words is "one hundred six billion, seven hundred sixty-six million, one hundred seventy thousand, nine hundred one".