105050440 has 64 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 38016000.

The previous prime is 105050381. The next prime is 105050443. The reversal of 105050440 is 44050501.

It is a super-2 number, since 2×105050440² = 22071189888387200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105050443) 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, 118800 + ... + 119680.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2^105050440 is an apocalyptic number.

105050440 is a gapful number since it is divisible by the number (10) 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 105050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

105050440 is an abundant number, since it is smaller than the sum of its proper divisors (154045880).

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

105050440 is a wasteful number, since it uses less digits than its factorization.

105050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 105050440 is about 10249.4116904337. The cubic root of 105050440 is about 471.8449289493.

The spelling of 105050440 in words is "one hundred five million, fifty thousand, four hundred forty".