105122153 has 2 divisors, whose sum is σ = 105122154. Its totient is φ = 105122152.

The previous prime is 105122137. The next prime is 105122159. The reversal of 105122153 is 351221501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73222249 + 31899904 = 8557^2 + 5648^2 .

It is a cyclic number.

It is not a de Polignac number, because 105122153 - 2⁴ = 105122137 is a prime.

It is a super-2 number, since 2×105122153² = 22101334102710818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105122159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52561076 + 52561077.

It is an arithmetic number, because the mean of its divisors is an integer number (52561077).

Almost surely, 2^105122153 is an apocalyptic number.

It is an amenable number.

105122153 is a deficient number, since it is larger than the sum of its proper divisors (1).

105122153 is an equidigital number, since it uses as much as digits as its factorization.

105122153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 105122153 is about 10252.9094895059. The cubic root of 105122153 is about 471.9522733151.

Adding to 105122153 its reverse (351221501), we get a palindrome (456343654).

The spelling of 105122153 in words is "one hundred five million, one hundred twenty-two thousand, one hundred fifty-three".