105968125 has 20 divisors (see below), whose sum is σ = 135531616. Its totient is φ = 82782000.

The previous prime is 105968113. The next prime is 105968171. The reversal of 105968125 is 521869501.

It is not a de Polignac number, because 105968125 - 2¹⁹ = 105443837 is a prime.

It is a super-2 number, since 2×105968125² = 22458487032031250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24904 + ... + 28846.

Almost surely, 2^105968125 is an apocalyptic number.

It is an amenable number.

105968125 is a deficient number, since it is larger than the sum of its proper divisors (29563491).

105968125 is an frugal number, since it uses more digits than its factorization.

105968125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The square root of 105968125 is about 10294.0820377535. The cubic root of 105968125 is about 473.2149065072.

It can be divided in two parts, 10596 and 8125, that added together give a triangular number (18721 = T₁₉₃).

The spelling of 105968125 in words is "one hundred five million, nine hundred sixty-eight thousand, one hundred twenty-five".