105525335 has 32 divisors (see below), whose sum is σ = 138067200. Its totient is φ = 77172480.

The previous prime is 105525319. The next prime is 105525377. The reversal of 105525335 is 533525501.

It is not a de Polignac number, because 105525335 - 2⁴ = 105525319 is a prime.

It is a super-4 number, since 4×105525335⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105525298 and 105525307.

It is a congruent number.

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, 375395 + ... + 375675.

It is an arithmetic number, because the mean of its divisors is an integer number (4314600).

Almost surely, 2^105525335 is an apocalyptic number.

105525335 is a deficient number, since it is larger than the sum of its proper divisors (32541865).

105525335 is a wasteful number, since it uses less digits than its factorization.

105525335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431.

The product of its (nonzero) digits is 11250, while the sum is 29.

The square root of 105525335 is about 10272.5525065584. The cubic root of 105525335 is about 472.5548735763.

The spelling of 105525335 in words is "one hundred five million, five hundred twenty-five thousand, three hundred thirty-five".