105928335 has 48 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 54954432.

The previous prime is 105928331. The next prime is 105928337. The reversal of 105928335 is 533829501.

It is not a de Polignac number, because 105928335 - 2² = 105928331 is a prime.

It is a super-2 number, since 2×105928335² = 22441624311744450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105928335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105928331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294886 + ... + 295244.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^105928335 is an apocalyptic number.

105928335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105928335 is a deficient number, since it is larger than the sum of its proper divisors (82769265).

105928335 is a wasteful number, since it uses less digits than its factorization.

105928335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105928335 is about 10292.1491924670. The cubic root of 105928335 is about 473.1556698944.

The spelling of 105928335 in words is "one hundred five million, nine hundred twenty-eight thousand, three hundred thirty-five".