• 105935² = 11222224225 is the smallest square that contains exactly seven digits '2'.

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105935 has 4 divisors (see below), whose sum is σ = 127128. Its totient is φ = 84744.

The previous prime is 105929. The next prime is 105943. The reversal of 105935 is 539501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105935 - 2⁶ = 105871 is a prime.

It is a super-2 number, since 2×105935² = 22444448450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105935.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10589 + ... + 10598.

It is an arithmetic number, because the mean of its divisors is an integer number (31782).

2¹⁰⁵⁹³⁵ is an apocalyptic number.

105935 is a deficient number, since it is larger than the sum of its proper divisors (21193).

105935 is an equidigital number, since it uses as much as digits as its factorization.

105935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21192.

The product of its (nonzero) digits is 675, while the sum is 23.

The square root of 105935 is about 325.4765736578. The cubic root of 105935 is about 47.3165593322.

The spelling of 105935 in words is "one hundred five thousand, nine hundred thirty-five".