105352005 has 32 divisors (see below), whose sum is σ = 185702400. Its totient is φ = 50575680.

The previous prime is 105352003. The next prime is 105352007. The reversal of 105352005 is 500253501.

It is an interprime number because it is at equal distance from previous prime (105352003) and next prime (105352007).

It is not a de Polignac number, because 105352005 - 2¹ = 105352003 is a prime.

It is a super-2 number, since 2×105352005² = 22198089915040050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105352003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13896 + ... + 20094.

It is an arithmetic number, because the mean of its divisors is an integer number (5803200).

Almost surely, 2^105352005 is an apocalyptic number.

105352005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105352005 is a deficient number, since it is larger than the sum of its proper divisors (80350395).

105352005 is a wasteful number, since it uses less digits than its factorization.

105352005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6321.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 105352005 is about 10264.1124798981. The cubic root of 105352005 is about 472.2960010727.

The spelling of 105352005 in words is "one hundred five million, three hundred fifty-two thousand, five".