105765414 has 16 divisors (see below), whose sum is σ = 211830528. Its totient is φ = 35205192.

The previous prime is 105765409. The next prime is 105765421. The reversal of 105765414 is 414567501.

It is a super-3 number, since 3×105765414³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7762 + ... + 16485.

It is an arithmetic number, because the mean of its divisors is an integer number (13239408).

Almost surely, 2^105765414 is an apocalyptic number.

105765414 is an abundant number, since it is smaller than the sum of its proper divisors (106065114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105765414 is a wasteful number, since it uses less digits than its factorization.

105765414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24979.

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 105765414 is about 10284.2313276200. The cubic root of 105765414 is about 472.9129694894.

The spelling of 105765414 in words is "one hundred five million, seven hundred sixty-five thousand, four hundred fourteen".