100272999167 has 8 divisors (see below), whose sum is σ = 109393179600. Its totient is φ = 91153560960.

The previous prime is 100272999163. The next prime is 100272999179. The reversal of 100272999167 is 761999272001.

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

It is not a de Polignac number, because 100272999167 - 2² = 100272999163 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100272999163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118613 + ... + 463265.

It is an arithmetic number, because the mean of its divisors is an integer number (13674147450).

Almost surely, 2^100272999167 is an apocalyptic number.

100272999167 is a deficient number, since it is larger than the sum of its proper divisors (9120180433).

100272999167 is a wasteful number, since it uses less digits than its factorization.

100272999167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371113.

The product of its (nonzero) digits is 857304, while the sum is 53.

The spelling of 100272999167 in words is "one hundred billion, two hundred seventy-two million, nine hundred ninety-nine thousand, one hundred sixty-seven".