40132105 has 16 divisors (see below), whose sum is σ = 52007760. Its totient is φ = 29553408.

The previous prime is 40132093. The next prime is 40132117. The reversal of 40132105 is 50123104.

It is an interprime number because it is at equal distance from previous prime (40132093) and next prime (40132117).

It can be written as a sum of positive squares in 8 ways, for example, as 5745609 + 34386496 = 2397^2 + 5864^2 .

It is a cyclic number.

It is not a de Polignac number, because 40132105 - 2¹³ = 40123913 is a prime.

It is a super-2 number, since 2×40132105² = 3221171703462050, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 32479 + ... + 33691.

It is an arithmetic number, because the mean of its divisors is an integer number (3250485).

Almost surely, 2^40132105 is an apocalyptic number.

It is an amenable number.

40132105 is a deficient number, since it is larger than the sum of its proper divisors (11875655).

40132105 is a wasteful number, since it uses less digits than its factorization.

40132105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 40132105 is about 6334.9905288011. The cubic root of 40132105 is about 342.3712695754.

Adding to 40132105 its product of nonzero digits (120), we get a square (40132225 = 6335²).

Adding to 40132105 its reverse (50123104), we get a palindrome (90255209).

Subtracting 40132105 from its reverse (50123104), we obtain a palindrome (9990999).

The spelling of 40132105 in words is "forty million, one hundred thirty-two thousand, one hundred five".