105218125 has 20 divisors (see below), whose sum is σ = 133207360. Its totient is φ = 83070000.

The previous prime is 105218111. The next prime is 105218137. The reversal of 105218125 is 521812501.

It is not a de Polignac number, because 105218125 - 2¹⁵ = 105185357 is a prime.

It is a super-2 number, since 2×105218125² = 22141707657031250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105218125.

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, 48310 + ... + 50440.

It is an arithmetic number, because the mean of its divisors is an integer number (6660368).

Almost surely, 2^105218125 is an apocalyptic number.

It is an amenable number.

105218125 is a deficient number, since it is larger than the sum of its proper divisors (27989235).

105218125 is an frugal number, since it uses more digits than its factorization.

105218125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

The square root of 105218125 is about 10257.5886542598. The cubic root of 105218125 is about 472.0958536655.

The spelling of 105218125 in words is "one hundred five million, two hundred eighteen thousand, one hundred twenty-five".