105403125 has 24 divisors (see below), whose sum is σ = 175676256. Its totient is φ = 56210000.

The previous prime is 105403099. The next prime is 105403141. The reversal of 105403125 is 521304501.

It is not a de Polignac number, because 105403125 - 2¹⁴ = 105386741 is a prime.

It is a super-2 number, since 2×105403125² = 22219637519531250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3754 + ... + 14996.

It is an arithmetic number, because the mean of its divisors is an integer number (7319844).

Almost surely, 2^105403125 is an apocalyptic number.

105403125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105403125 is a deficient number, since it is larger than the sum of its proper divisors (70273131).

105403125 is an frugal number, since it uses more digits than its factorization.

105403125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11271 (or 11251 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105403125 is about 10266.6024078076. The cubic root of 105403125 is about 472.3723795195.

Adding to 105403125 its reverse (521304501), we get a palindrome (626707626).

The spelling of 105403125 in words is "one hundred five million, four hundred three thousand, one hundred twenty-five".