100072103 has 8 divisors (see below), whose sum is σ = 106970976. Its totient is φ = 93385600.

The previous prime is 100072097. The next prime is 100072129. The reversal of 100072103 is 301270001.

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 100072103 - 2¹⁴ = 100055719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072163) 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, 52118 + ... + 54003.

It is an arithmetic number, because the mean of its divisors is an integer number (13371372).

Almost surely, 2^100072103 is an apocalyptic number.

100072103 is a deficient number, since it is larger than the sum of its proper divisors (6898873).

100072103 is a wasteful number, since it uses less digits than its factorization.

100072103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106185.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 100072103 is about 10003.6045003789. The cubic root of 100072103 is about 464.2704140531.

The spelling of 100072103 in words is "one hundred million, seventy-two thousand, one hundred three".