105116502529 has 2 divisors, whose sum is σ = 105116502530. Its totient is φ = 105116502528.

The previous prime is 105116502523. The next prime is 105116502539. The reversal of 105116502529 is 925205611501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99036090000 + 6080412529 = 314700^2 + 77977^2 .

It is a cyclic number.

It is not a de Polignac number, because 105116502529 - 2³ = 105116502521 is a prime.

It is a super-2 number, since 2×105116502529² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105116502521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558251264 + 52558251265.

It is an arithmetic number, because the mean of its divisors is an integer number (52558251265).

Almost surely, 2^105116502529 is an apocalyptic number.

It is an amenable number.

105116502529 is a deficient number, since it is larger than the sum of its proper divisors (1).

105116502529 is an equidigital number, since it uses as much as digits as its factorization.

105116502529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 105116502529 in words is "one hundred five billion, one hundred sixteen million, five hundred two thousand, five hundred twenty-nine".