106767174657 has 32 divisors (see below), whose sum is σ = 167879771136. Its totient is φ = 59502715200.

The previous prime is 106767174641. The next prime is 106767174659. The reversal of 106767174657 is 756471767601.

It is not a de Polignac number, because 106767174657 - 2⁴ = 106767174641 is a prime.

It is a super-2 number, since 2×106767174657² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106767174597 and 106767174606.

It is not an unprimeable number, because it can be changed into a prime (106767174659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360319 + ... + 585972.

It is an arithmetic number, because the mean of its divisors is an integer number (5246242848).

Almost surely, 2^106767174657 is an apocalyptic number.

It is an amenable number.

106767174657 is a deficient number, since it is larger than the sum of its proper divisors (61112596479).

106767174657 is a wasteful number, since it uses less digits than its factorization.

106767174657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946581.

The product of its (nonzero) digits is 10372320, while the sum is 57.

The spelling of 106767174657 in words is "one hundred six billion, seven hundred sixty-seven million, one hundred seventy-four thousand, six hundred fifty-seven".