105144040 has 48 divisors (see below), whose sum is σ = 247356900. Its totient is φ = 40220928.

The previous prime is 105144019. The next prime is 105144071. The reversal of 105144040 is 40441501.

It can be written as a sum of positive squares in 2 ways, for example, as 99640324 + 5503716 = 9982^2 + 2346^2 .

It is a super-3 number, since 3×105144040³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105143999 and 105144017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18676 + ... + 23644.

Almost surely, 2^105144040 is an apocalyptic number.

105144040 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 105144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123678450).

105144040 is an abundant number, since it is smaller than the sum of its proper divisors (142212860).

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

105144040 is a wasteful number, since it uses less digits than its factorization.

105144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5026 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 105144040 is about 10253.9767895193. The cubic root of 105144040 is about 471.9850253796.

Adding to 105144040 its reverse (40441501), we get a palindrome (145585541).

The spelling of 105144040 in words is "one hundred five million, one hundred forty-four thousand, forty".