105105606157 has 2 divisors, whose sum is σ = 105105606158. Its totient is φ = 105105606156.

The previous prime is 105105606131. The next prime is 105105606173. The reversal of 105105606157 is 751606501501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66732322276 + 38373283881 = 258326^2 + 195891^2 .

It is a cyclic number.

It is not a de Polignac number, because 105105606157 - 2¹⁵ = 105105573389 is a prime.

It is a super-2 number, since 2×105105606157² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105105606187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52552803078 + 52552803079.

It is an arithmetic number, because the mean of its divisors is an integer number (52552803079).

Almost surely, 2^105105606157 is an apocalyptic number.

It is an amenable number.

105105606157 is a deficient number, since it is larger than the sum of its proper divisors (1).

105105606157 is an equidigital number, since it uses as much as digits as its factorization.

105105606157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31500, while the sum is 37.

The spelling of 105105606157 in words is "one hundred five billion, one hundred five million, six hundred six thousand, one hundred fifty-seven".