105407125 has 8 divisors (see below), whose sum is σ = 131548248. Its totient is φ = 84325600.

The previous prime is 105407111. The next prime is 105407153. The reversal of 105407125 is 521704501.

It can be written as a sum of positive squares in 4 ways, for example, as 14814801 + 90592324 = 3849^2 + 9518^2 .

It is not a de Polignac number, because 105407125 - 2¹¹ = 105405077 is a prime.

It is a super-2 number, since 2×105407125² = 22221324001531250, which contains 22 as substring.

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

It is a Duffinian number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 105407125.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421504 + ... + 421753.

It is an arithmetic number, because the mean of its divisors is an integer number (16443531).

Almost surely, 2^105407125 is an apocalyptic number.

It is an amenable number.

105407125 is a deficient number, since it is larger than the sum of its proper divisors (26141123).

105407125 is an frugal number, since it uses more digits than its factorization.

105407125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843272 (or 843262 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 105407125 is about 10266.7972123735. The cubic root of 105407125 is about 472.3783548819.

The spelling of 105407125 in words is "one hundred five million, four hundred seven thousand, one hundred twenty-five".