105342735 has 32 divisors (see below), whose sum is σ = 174440448. Its totient is φ = 54247680.

The previous prime is 105342719. The next prime is 105342739. The reversal of 105342735 is 537243501.

It is not a de Polignac number, because 105342735 - 2⁴ = 105342719 is a prime.

It is a super-2 number, since 2×105342735² = 22194183634560450, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105342739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62514 + ... + 64176.

It is an arithmetic number, because the mean of its divisors is an integer number (5451264).

Almost surely, 2^105342735 is an apocalyptic number.

105342735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105342735 is a deficient number, since it is larger than the sum of its proper divisors (69097713).

105342735 is a wasteful number, since it uses less digits than its factorization.

105342735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 105342735 is about 10263.6608965807. The cubic root of 105342735 is about 472.2821481094.

The spelling of 105342735 in words is "one hundred five million, three hundred forty-two thousand, seven hundred thirty-five".