105003936 has 144 divisors (see below), whose sum is σ = 312792480. Its totient is φ = 33384960.

The previous prime is 105003931. The next prime is 105003961. The reversal of 105003936 is 639300501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105003936² = 22051653150984192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105003931) 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 23 ways as a sum of consecutive naturals, for example, 755355 + ... + 755493.

It is an arithmetic number, because the mean of its divisors is an integer number (2172170).

Almost surely, 2^105003936 is an apocalyptic number.

105003936 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 105003936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

105003936 is an abundant number, since it is smaller than the sum of its proper divisors (207788544).

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

105003936 is a wasteful number, since it uses less digits than its factorization.

105003936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 105003936 is about 10247.1428212941. The cubic root of 105003936 is about 471.7752928290.

The spelling of 105003936 in words is "one hundred five million, three thousand, nine hundred thirty-six".