100850085157 has 2 divisors, whose sum is σ = 100850085158. Its totient is φ = 100850085156.

The previous prime is 100850085079. The next prime is 100850085197. The reversal of 100850085157 is 751580058001.

It is an a-pointer prime, because the next prime (100850085197) can be obtained adding 100850085157 to its sum of digits (40).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87378768801 + 13471316356 = 295599^2 + 116066^2 .

It is a cyclic number.

It is not a de Polignac number, because 100850085157 - 2¹⁵ = 100850052389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100850085197) 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 as a sum of consecutive naturals, namely, 50425042578 + 50425042579.

It is an arithmetic number, because the mean of its divisors is an integer number (50425042579).

Almost surely, 2^100850085157 is an apocalyptic number.

It is an amenable number.

100850085157 is a deficient number, since it is larger than the sum of its proper divisors (1).

100850085157 is an equidigital number, since it uses as much as digits as its factorization.

100850085157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56000, while the sum is 40.

The spelling of 100850085157 in words is "one hundred billion, eight hundred fifty million, eighty-five thousand, one hundred fifty-seven".