100009157 has 4 divisors (see below), whose sum is σ = 100646316. Its totient is φ = 99372000.

The previous prime is 100009153. The next prime is 100009201. The reversal of 100009157 is 751900001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 40271716 + 59737441 = 6346^2 + 7729^2 .

It is a cyclic number.

It is not a de Polignac number, because 100009157 - 2² = 100009153 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 (100009153) 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 3 ways as a sum of consecutive naturals, for example, 318344 + ... + 318657.

It is an arithmetic number, because the mean of its divisors is an integer number (25161579).

Almost surely, 2^100009157 is an apocalyptic number.

It is an amenable number.

100009157 is a deficient number, since it is larger than the sum of its proper divisors (637159).

100009157 is an equidigital number, since it uses as much as digits as its factorization.

100009157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637158.

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 100009157 is about 10000.4578395191. The cubic root of 100009157 is about 464.1730506052.

Adding to 100009157 its reverse (751900001), we get a palindrome (851909158).

The spelling of 100009157 in words is "one hundred million, nine thousand, one hundred fifty-seven".