105044896 has 48 divisors (see below), whose sum is σ = 227797920. Its totient is φ = 47284480.

The previous prime is 105044869. The next prime is 105044899. The reversal of 105044896 is 698440501.

It is a happy number.

It is a super-2 number, since 2×105044896² = 22068860351301632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105044899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36270 + ... + 39058.

It is an arithmetic number, because the mean of its divisors is an integer number (4745790).

Almost surely, 2^105044896 is an apocalyptic number.

105044896 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 105044896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113898960).

105044896 is an abundant number, since it is smaller than the sum of its proper divisors (122753024).

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

105044896 is a wasteful number, since it uses less digits than its factorization.

105044896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 105044896 is about 10249.1412323180. The cubic root of 105044896 is about 471.8366283199.

It can be divided in two parts, 10504 and 4896, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 105044896 in words is "one hundred five million, forty-four thousand, eight hundred ninety-six".