105413235 has 32 divisors (see below), whose sum is σ = 180576000. Its totient is φ = 52350336.

The previous prime is 105413227. The next prime is 105413249. The reversal of 105413235 is 532314501.

It is not a de Polignac number, because 105413235 - 2³ = 105413227 is a prime.

It is a super-2 number, since 2×105413235² = 22223900226330450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13681 + ... + 19949.

It is an arithmetic number, because the mean of its divisors is an integer number (5643000).

Almost surely, 2^105413235 is an apocalyptic number.

105413235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105413235 is a deficient number, since it is larger than the sum of its proper divisors (75162765).

105413235 is a wasteful number, since it uses less digits than its factorization.

105413235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355.

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 105413235 is about 10267.0947692130. The cubic root of 105413235 is about 472.3874819562.

Adding to 105413235 its reverse (532314501), we get a palindrome (637727736).

The spelling of 105413235 in words is "one hundred five million, four hundred thirteen thousand, two hundred thirty-five".