105404352 has 112 divisors (see below), whose sum is σ = 302556672. Its totient is φ = 32256000.

The previous prime is 105404347. The next prime is 105404353. The reversal of 105404352 is 253404501.

It is a super-2 number, since 2×105404352² = 22220154841079808, which contains 22 as substring.

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

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 (105404353) 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 15 ways as a sum of consecutive naturals, for example, 139977 + ... + 140727.

Almost surely, 2^105404352 is an apocalyptic number.

105404352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151278336).

105404352 is an abundant number, since it is smaller than the sum of its proper divisors (197152320).

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

105404352 is a wasteful number, since it uses less digits than its factorization.

105404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 105404352 is about 10266.6621645012. The cubic root of 105404352 is about 472.3742124780.

Adding to 105404352 its reverse (253404501), we get a palindrome (358808853).

The spelling of 105404352 in words is "one hundred five million, four hundred four thousand, three hundred fifty-two".