105319435 has 16 divisors (see below), whose sum is σ = 137110176. Its totient is φ = 77200128.

The previous prime is 105319411. The next prime is 105319441. The reversal of 105319435 is 534913501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105319435 - 2¹⁹ = 104795147 is a prime.

It is a super-2 number, since 2×105319435² = 22184366777438450, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105319397 and 105319406.

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, 2992 + ... + 14818.

It is an arithmetic number, because the mean of its divisors is an integer number (8569386).

Almost surely, 2^105319435 is an apocalyptic number.

105319435 is a deficient number, since it is larger than the sum of its proper divisors (31790741).

105319435 is a wasteful number, since it uses less digits than its factorization.

105319435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11982.

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 105319435 is about 10262.5257612344. The cubic root of 105319435 is about 472.2473253142.

The spelling of 105319435 in words is "one hundred five million, three hundred nineteen thousand, four hundred thirty-five".