105123408 has 60 divisors (see below), whose sum is σ = 294088320. Its totient is φ = 32343168.

The previous prime is 105123407. The next prime is 105123481. The reversal of 105123408 is 804321501.

It is a super-2 number, since 2×105123408² = 22101861819068928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105123407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1633 + ... + 14591.

It is an arithmetic number, because the mean of its divisors is an integer number (4901472).

Almost surely, 2^105123408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105123408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147044160).

105123408 is an abundant number, since it is smaller than the sum of its proper divisors (188964912).

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

105123408 is a wasteful number, since it uses less digits than its factorization.

105123408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996 (or 12977 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 105123408 is about 10252.9706914630. The cubic root of 105123408 is about 471.9541514405.

Adding to 105123408 its reverse (804321501), we get a palindrome (909444909).

The spelling of 105123408 in words is "one hundred five million, one hundred twenty-three thousand, four hundred eight".