105116125 has 8 divisors (see below), whose sum is σ = 131185080. Its totient is φ = 84092800.

The previous prime is 105116107. The next prime is 105116147. The reversal of 105116125 is 521611501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33124 + 105083001 = 182^2 + 10251^2 .

It is not a de Polignac number, because 105116125 - 2⁹ = 105115613 is a prime.

It is a super-2 number, since 2×105116125² = 22098799470031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105116096 and 105116105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 420340 + ... + 420589.

It is an arithmetic number, because the mean of its divisors is an integer number (16398135).

Almost surely, 2^105116125 is an apocalyptic number.

It is an amenable number.

105116125 is a deficient number, since it is larger than the sum of its proper divisors (26068955).

105116125 is an frugal number, since it uses more digits than its factorization.

105116125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840944 (or 840934 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The square root of 105116125 is about 10252.6155199539. The cubic root of 105116125 is about 471.9432521190.

Adding to 105116125 its reverse (521611501), we get a palindrome (626727626).

The spelling of 105116125 in words is "one hundred five million, one hundred sixteen thousand, one hundred twenty-five".