105020040 has 64 divisors (see below), whose sum is σ = 320247360. Its totient is φ = 27544320.

The previous prime is 105020009. The next prime is 105020051. The reversal of 105020040 is 40020501.

It is a super-2 number, since 2×105020040² = 22058417603203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 105019998 and 105020025.

It is an unprimeable number.

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, 147 + ... + 14493.

It is an arithmetic number, because the mean of its divisors is an integer number (5003865).

Almost surely, 2^105020040 is an apocalyptic number.

105020040 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 105020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160123680).

105020040 is an abundant number, since it is smaller than the sum of its proper divisors (215227320).

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

105020040 is a wasteful number, since it uses less digits than its factorization.

105020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14422 (or 14418 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 105020040 is about 10247.9285711796. The cubic root of 105020040 is about 471.7994096422.

Adding to 105020040 its reverse (40020501), we get a palindrome (145040541).

The spelling of 105020040 in words is "one hundred five million, twenty thousand, forty".