105044496 has 160 divisors (see below), whose sum is σ = 311765760. Its totient is φ = 30277632.

The previous prime is 105044491. The next prime is 105044497. The reversal of 105044496 is 694440501.

It is a super-2 number, since 2×105044496² = 22068692279788032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105044491) 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, 544176 + ... + 544368.

It is an arithmetic number, because the mean of its divisors is an integer number (1948536).

Almost surely, 2^105044496 is an apocalyptic number.

105044496 is a gapful number since it is divisible by the number (16) 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 105044496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155882880).

105044496 is an abundant number, since it is smaller than the sum of its proper divisors (206721264).

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

105044496 is a wasteful number, since it uses less digits than its factorization.

105044496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 105044496 is about 10249.1217184693. The cubic root of 105044496 is about 471.8360294176.

Adding to 105044496 its reverse (694440501), we get a palindrome (799484997).

The spelling of 105044496 in words is "one hundred five million, forty-four thousand, four hundred ninety-six".