105657055 has 16 divisors (see below), whose sum is σ = 151202304. Its totient is φ = 69300000.

The previous prime is 105656939. The next prime is 105657103. The reversal of 105657055 is 550756501.

It is not a de Polignac number, because 105657055 - 2⁷ = 105656927 is a prime.

It is a super-2 number, since 2×105657055² = 22326826542546050, 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 105657055.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64821 + ... + 66430.

It is an arithmetic number, because the mean of its divisors is an integer number (9450144).

Almost surely, 2^105657055 is an apocalyptic number.

105657055 is a deficient number, since it is larger than the sum of its proper divisors (45545249).

105657055 is a wasteful number, since it uses less digits than its factorization.

105657055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131286.

The product of its (nonzero) digits is 26250, while the sum is 34.

The square root of 105657055 is about 10278.9617666377. The cubic root of 105657055 is about 472.7514110467.

The spelling of 105657055 in words is "one hundred five million, six hundred fifty-seven thousand, fifty-five".