101672164667 has 8 divisors (see below), whose sum is σ = 103271514000. Its totient is φ = 100078398720.

The previous prime is 101672164589. The next prime is 101672164679. The reversal of 101672164667 is 766461276101.

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

It is a cyclic number.

It is not a de Polignac number, because 101672164667 - 2⁸ = 101672164411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101672964667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1359134 + ... + 1431987.

It is an arithmetic number, because the mean of its divisors is an integer number (12908939250).

Almost surely, 2^101672164667 is an apocalyptic number.

101672164667 is a deficient number, since it is larger than the sum of its proper divisors (1599349333).

101672164667 is an equidigital number, since it uses as much as digits as its factorization.

101672164667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791693.

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 101672164667 in words is "one hundred one billion, six hundred seventy-two million, one hundred sixty-four thousand, six hundred sixty-seven".