101107157 has 2 divisors, whose sum is σ = 101107158. Its totient is φ = 101107156.

The previous prime is 101107091. The next prime is 101107183. The reversal of 101107157 is 751701101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58583716 + 42523441 = 7654^2 + 6521^2 .

It is a cyclic number.

It is not a de Polignac number, because 101107157 - 2¹⁰ = 101106133 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 (101187157) 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 as a sum of consecutive naturals, namely, 50553578 + 50553579.

It is an arithmetic number, because the mean of its divisors is an integer number (50553579).

Almost surely, 2^101107157 is an apocalyptic number.

It is an amenable number.

101107157 is a deficient number, since it is larger than the sum of its proper divisors (1).

101107157 is an equidigital number, since it uses as much as digits as its factorization.

101107157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245, while the sum is 23.

The square root of 101107157 is about 10055.2054678162. The cubic root of 101107157 is about 465.8655893242.

Adding to 101107157 its reverse (751701101), we get a palindrome (852808258).

The spelling of 101107157 in words is "one hundred one million, one hundred seven thousand, one hundred fifty-seven".