100417157 has 2 divisors, whose sum is σ = 100417158. Its totient is φ = 100417156.

The previous prime is 100417151. The next prime is 100417201. The reversal of 100417157 is 751714001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91661476 + 8755681 = 9574^2 + 2959^2 .

It is an emirp because it is prime and its reverse (751714001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100417157 - 2²⁶ = 33308293 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100417151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50208578 + 50208579.

It is an arithmetic number, because the mean of its divisors is an integer number (50208579).

Almost surely, 2^100417157 is an apocalyptic number.

It is an amenable number.

100417157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100417157 is an equidigital number, since it uses as much as digits as its factorization.

100417157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 980, while the sum is 26.

The square root of 100417157 is about 10020.8361427577. The cubic root of 100417157 is about 464.8034117163.

The spelling of 100417157 in words is "one hundred million, four hundred seventeen thousand, one hundred fifty-seven".