105401205 has 72 divisors (see below), whose sum is σ = 228933432. Its totient is φ = 44464896.

The previous prime is 105401137. The next prime is 105401281. The reversal of 105401205 is 502104501.

105401205 is a `hidden beast` number, since 1 + 0 + 540 + 120 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 97002801 = 2898^2 + 9849^2 .

It is not a de Polignac number, because 105401205 - 2⁸ = 105400949 is a prime.

It is a super-2 number, since 2×105401205² = 22218828030904050, 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 71 ways as a sum of consecutive naturals, for example, 26827 + ... + 30503.

It is an arithmetic number, because the mean of its divisors is an integer number (3179631).

Almost surely, 2^105401205 is an apocalyptic number.

105401205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105401205 is an abundant number, since it is smaller than the sum of its proper divisors (123532227).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105401205 is a wasteful number, since it uses less digits than its factorization.

105401205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105401205 is about 10266.5089003030. The cubic root of 105401205 is about 472.3695112918.

Adding to 105401205 its reverse (502104501), we get a palindrome (607505706).

The spelling of 105401205 in words is "one hundred five million, four hundred one thousand, two hundred five".