105350125 has 8 divisors (see below), whose sum is σ = 131477112. Its totient is φ = 84280000.

The previous prime is 105350107. The next prime is 105350131. The reversal of 105350125 is 521053501.

It can be written as a sum of positive squares in 4 ways, for example, as 13439556 + 91910569 = 3666^2 + 9587^2 .

It is not a de Polignac number, because 105350125 - 2⁵ = 105350093 is a prime.

It is a super-2 number, since 2×105350125² = 22197297675031250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105350096 and 105350105.

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, 421276 + ... + 421525.

It is an arithmetic number, because the mean of its divisors is an integer number (16434639).

Almost surely, 2^105350125 is an apocalyptic number.

It is an amenable number.

105350125 is a deficient number, since it is larger than the sum of its proper divisors (26126987).

105350125 is an frugal number, since it uses more digits than its factorization.

105350125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842816 (or 842806 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 105350125 is about 10264.0208982640. The cubic root of 105350125 is about 472.2931916917.

The spelling of 105350125 in words is "one hundred five million, three hundred fifty thousand, one hundred twenty-five".