100167103 has 8 divisors (see below), whose sum is σ = 103174560. Its totient is φ = 97175520.

The previous prime is 100167091. The next prime is 100167113. The reversal of 100167103 is 301761001.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100167103 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 (100167113) 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, 9513 + ... + 17053.

It is an arithmetic number, because the mean of its divisors is an integer number (12896820).

Almost surely, 2^100167103 is an apocalyptic number.

100167103 is a deficient number, since it is larger than the sum of its proper divisors (3007457).

100167103 is an equidigital number, since it uses as much as digits as its factorization.

100167103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7937.

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 100167103 is about 10008.3516624867. The cubic root of 100167103 is about 464.4172806244.

The spelling of 100167103 in words is "one hundred million, one hundred sixty-seven thousand, one hundred three".