105655123 has 24 divisors (see below), whose sum is σ = 129111840. Its totient is φ = 86042880.

The previous prime is 105655103. The next prime is 105655127. The reversal of 105655123 is 321556501.

It is not a de Polignac number, because 105655123 - 2¹⁷ = 105524051 is a prime.

It is a super-2 number, since 2×105655123² = 22326010032290258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105655091 and 105655100.

It is not an unprimeable number, because it can be changed into a prime (105655127) 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 23 ways as a sum of consecutive naturals, for example, 271413 + ... + 271801.

It is an arithmetic number, because the mean of its divisors is an integer number (5379660).

Almost surely, 2^105655123 is an apocalyptic number.

105655123 is a deficient number, since it is larger than the sum of its proper divisors (23456717).

105655123 is a wasteful number, since it uses less digits than its factorization.

105655123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 105655123 is about 10278.8677878451. The cubic root of 105655123 is about 472.7485295186.

The spelling of 105655123 in words is "one hundred five million, six hundred fifty-five thousand, one hundred twenty-three".