105226104 has 128 divisors (see below), whose sum is σ = 294912000. Its totient is φ = 31135104.

The previous prime is 105226103. The next prime is 105226129. The reversal of 105226104 is 401622501.

It is a super-2 number, since 2×105226104² = 22145065926037632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105226103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 828489 + ... + 828615.

It is an arithmetic number, because the mean of its divisors is an integer number (2304000).

Almost surely, 2^105226104 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 105226104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147456000).

105226104 is an abundant number, since it is smaller than the sum of its proper divisors (189685896).

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

105226104 is a wasteful number, since it uses less digits than its factorization.

105226104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105226104 is about 10257.9775784508. The cubic root of 105226104 is about 472.1077868364.

Adding to 105226104 its reverse (401622501), we get a palindrome (506848605).

The spelling of 105226104 in words is "one hundred five million, two hundred twenty-six thousand, one hundred four".