105121157 has 2 divisors, whose sum is σ = 105121158. Its totient is φ = 105121156.

The previous prime is 105121147. The next prime is 105121189. The reversal of 105121157 is 751121501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103754596 + 1366561 = 10186^2 + 1169^2 .

It is a cyclic number.

It is not a de Polignac number, because 105121157 - 2²² = 100926853 is a prime.

It is a super-3 number, since 3×105121157³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105121127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52560578 + 52560579.

It is an arithmetic number, because the mean of its divisors is an integer number (52560579).

Almost surely, 2^105121157 is an apocalyptic number.

It is an amenable number.

105121157 is a deficient number, since it is larger than the sum of its proper divisors (1).

105121157 is an equidigital number, since it uses as much as digits as its factorization.

105121157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 350, while the sum is 23.

The square root of 105121157 is about 10252.8609178122. The cubic root of 105121157 is about 471.9507827763.

Adding to 105121157 its reverse (751121501), we get a palindrome (856242658).

The spelling of 105121157 in words is "one hundred five million, one hundred twenty-one thousand, one hundred fifty-seven".