10106161667 has 8 divisors (see below), whose sum is σ = 11652111456. Its totient is φ = 8585764992.

The previous prime is 10106161651. The next prime is 10106161691. The reversal of 10106161667 is 76616160101.

10106161667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10106161667 - 2⁴ = 10106161651 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10106161697) 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 7 ways as a sum of consecutive naturals, for example, 6387428 + ... + 6389009.

It is an arithmetic number, because the mean of its divisors is an integer number (1456513932).

Almost surely, 2^10106161667 is an apocalyptic number.

10106161667 is a deficient number, since it is larger than the sum of its proper divisors (1545949789).

10106161667 is a wasteful number, since it uses less digits than its factorization.

10106161667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12776557.

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 10106161667 in words is "ten billion, one hundred six million, one hundred sixty-one thousand, six hundred sixty-seven".