105040050 has 48 divisors (see below), whose sum is σ = 261462432. Its totient is φ = 27907200.

The previous prime is 105040007. The next prime is 105040051. The reversal of 105040050 is 50040501.

It is a super-2 number, since 2×105040050² = 22066824208005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (105040051) 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, 44910 + ... + 47190.

It is an arithmetic number, because the mean of its divisors is an integer number (5447134).

Almost surely, 2^105040050 is an apocalyptic number.

105040050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105040050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130731216).

105040050 is an abundant number, since it is smaller than the sum of its proper divisors (156422382).

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

105040050 is a wasteful number, since it uses less digits than its factorization.

105040050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 105040050 is about 10248.9048195405. The cubic root of 105040050 is about 471.8293725162.

Adding to 105040050 its reverse (50040501), we get a palindrome (155080551).

The spelling of 105040050 in words is "one hundred five million, forty thousand, fifty".