105413599 has 8 divisors (see below), whose sum is σ = 107501472. Its totient is φ = 103346400.

The previous prime is 105413593. The next prime is 105413603. The reversal of 105413599 is 995314501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105413599 - 2³ = 105413591 is a prime.

It is a super-2 number, since 2×105413599² = 22224053708265602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105413591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5337 + ... + 15469.

It is an arithmetic number, because the mean of its divisors is an integer number (13437684).

Almost surely, 2^105413599 is an apocalyptic number.

105413599 is a deficient number, since it is larger than the sum of its proper divisors (2087873).

105413599 is a wasteful number, since it uses less digits than its factorization.

105413599 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10337.

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 105413599 is about 10267.1124957312. The cubic root of 105413599 is about 472.3880256856.

The spelling of 105413599 in words is "one hundred five million, four hundred thirteen thousand, five hundred ninety-nine".