105504135 has 24 divisors (see below), whose sum is σ = 185550960. Its totient is φ = 51152640.

The previous prime is 105504127. The next prime is 105504149. The reversal of 105504135 is 531405501.

105504135 = 192² + 193² + ... + 686².

It is not a de Polignac number, because 105504135 - 2³ = 105504127 is a prime.

It is a super-2 number, since 2×105504135² = 22262245004196450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27250 + ... + 30879.

It is an arithmetic number, because the mean of its divisors is an integer number (7731290).

Almost surely, 2^105504135 is an apocalyptic number.

105504135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105504135 is a deficient number, since it is larger than the sum of its proper divisors (80046825).

105504135 is a wasteful number, since it uses less digits than its factorization.

105504135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58159 (or 58148 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105504135 is about 10271.5205787653. The cubic root of 105504135 is about 472.5232260916.

Adding to 105504135 its reverse (531405501), we get a palindrome (636909636).

The spelling of 105504135 in words is "one hundred five million, five hundred four thousand, one hundred thirty-five".