105540240433050 has 288 divisors, whose sum is σ = 289394154713664. Its totient is φ = 27569203200000.

The previous prime is 105540240433039. The next prime is 105540240433079. The reversal of 105540240433050 is 50334042045501.

105540240433050 is a `hidden beast` number, since 1 + 0 + 5 + 540 + 2 + 40 + 43 + 30 + 5 + 0 = 666.

It is a super-2 number, since 2×105540240433050² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105540240432996 and 105540240433014.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4850852772 + ... + 4850874528.

It is an arithmetic number, because the mean of its divisors is an integer number (1004840814978).

Almost surely, 2^{105540240433050} is an apocalyptic number.

105540240433050 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 105540240433050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144697077356832).

105540240433050 is an abundant number, since it is smaller than the sum of its proper divisors (183853914280614).

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

105540240433050 is a wasteful number, since it uses less digits than its factorization.

105540240433050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22734 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 105540240433050 its reverse (50334042045501), we get a palindrome (155874282478551).

The spelling of 105540240433050 in words is "one hundred five trillion, five hundred forty billion, two hundred forty million, four hundred thirty-three thousand, fifty".