105123204 has 48 divisors (see below), whose sum is σ = 273651840. Its totient is φ = 34898400.

The previous prime is 105123199. The next prime is 105123209. The reversal of 105123204 is 402321501.

It is an interprime number because it is at equal distance from previous prime (105123199) and next prime (105123209).

It is a super-2 number, since 2×105123204² = 22101776038451232, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105123209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26554 + ... + 30254.

It is an arithmetic number, because the mean of its divisors is an integer number (5701080).

Almost surely, 2^105123204 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 105123204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136825920).

105123204 is an abundant number, since it is smaller than the sum of its proper divisors (168528636).

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

105123204 is a wasteful number, since it uses less digits than its factorization.

105123204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3977 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105123204 is about 10252.9607431220. The cubic root of 105123204 is about 471.9538461526.

Adding to 105123204 its reverse (402321501), we get a palindrome (507444705).

The spelling of 105123204 in words is "one hundred five million, one hundred twenty-three thousand, two hundred four".