105123060 has 72 divisors (see below), whose sum is σ = 364430976. Its totient is φ = 24027840.

The previous prime is 105123049. The next prime is 105123061. The reversal of 105123060 is 60321501.

It is a super-2 number, since 2×105123060² = 22101715487527200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105123061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40456 + ... + 42975.

Almost surely, 2^105123060 is an apocalyptic number.

105123060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105123060 is an abundant number, since it is smaller than the sum of its proper divisors (259307916).

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

105123060 is a wasteful number, since it uses less digits than its factorization.

105123060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83453 (or 83448 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105123060 is about 10252.9537207577. The cubic root of 105123060 is about 471.9536306550.

Adding to 105123060 its reverse (60321501), we get a palindrome (165444561).

The spelling of 105123060 in words is "one hundred five million, one hundred twenty-three thousand, sixty".