105384435 has 16 divisors (see below), whose sum is σ = 181585824. Its totient is φ = 51881472.

The previous prime is 105384427. The next prime is 105384437. The reversal of 105384435 is 534483501.

It is not a de Polignac number, because 105384435 - 2³ = 105384427 is a prime.

It is a super-2 number, since 2×105384435² = 22211758280538450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105384396 and 105384405.

It is not an unprimeable number, because it can be changed into a prime (105384437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270022 + ... + 270411.

It is an arithmetic number, because the mean of its divisors is an integer number (11349114).

Almost surely, 2^105384435 is an apocalyptic number.

105384435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105384435 is a deficient number, since it is larger than the sum of its proper divisors (76201389).

105384435 is a wasteful number, since it uses less digits than its factorization.

105384435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540454.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 105384435 is about 10265.6921344837. The cubic root of 105384435 is about 472.3444576349.

The spelling of 105384435 in words is "one hundred five million, three hundred eighty-four thousand, four hundred thirty-five".