105042125 has 16 divisors (see below), whose sum is σ = 133323840. Its totient is φ = 82603600.

The previous prime is 105042103. The next prime is 105042137. The reversal of 105042125 is 521240501.

It is not a de Polignac number, because 105042125 - 2¹⁴ = 105025741 is a prime.

It is a super-2 number, since 2×105042125² = 22067696049031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105042097 and 105042106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254 + ... + 14496.

It is an arithmetic number, because the mean of its divisors is an integer number (8332740).

Almost surely, 2^105042125 is an apocalyptic number.

It is an amenable number.

105042125 is a deficient number, since it is larger than the sum of its proper divisors (28281715).

105042125 is an equidigital number, since it uses as much as digits as its factorization.

105042125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14317 (or 14307 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105042125 is about 10249.0060493689. The cubic root of 105042125 is about 471.8324793930.

Adding to 105042125 its reverse (521240501), we get a palindrome (626282626).

It can be divided in two parts, 105042 and 125, that multiplied together give a triangular number (13130250 = T₅₁₂₄).

The spelling of 105042125 in words is "one hundred five million, forty-two thousand, one hundred twenty-five".