100671167 has 16 divisors (see below), whose sum is σ = 106659840. Its totient is φ = 94888800.

The previous prime is 100671163. The next prime is 100671173. The reversal of 100671167 is 761176001.

It is a cyclic number.

It is not a de Polignac number, because 100671167 - 2² = 100671163 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100671163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262658 + ... + 263040.

It is an arithmetic number, because the mean of its divisors is an integer number (6666240).

Almost surely, 2^100671167 is an apocalyptic number.

100671167 is a deficient number, since it is larger than the sum of its proper divisors (5988673).

100671167 is a wasteful number, since it uses less digits than its factorization.

100671167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614.

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 100671167 is about 10033.5022300292. The cubic root of 100671167 is about 465.1949958761.

The spelling of 100671167 in words is "one hundred million, six hundred seventy-one thousand, one hundred sixty-seven".