100257267 has 16 divisors (see below), whose sum is σ = 146021760. Its totient is φ = 60681600.

The previous prime is 100257239. The next prime is 100257293. The reversal of 100257267 is 762752001.

It is not a de Polignac number, because 100257267 - 2⁷ = 100257139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100257067) 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 15 ways as a sum of consecutive naturals, for example, 31792 + ... + 34802.

It is an arithmetic number, because the mean of its divisors is an integer number (9126360).

Almost surely, 2^100257267 is an apocalyptic number.

100257267 is a deficient number, since it is larger than the sum of its proper divisors (45764493).

100257267 is a wasteful number, since it uses less digits than its factorization.

100257267 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4034.

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 100257267 is about 10012.8550873365. The cubic root of 100257267 is about 464.5565850491.

The spelling of 100257267 in words is "one hundred million, two hundred fifty-seven thousand, two hundred sixty-seven".