105055050240 has 960 divisors, whose sum is σ = 439267885056. Its totient is φ = 22685515776.

The previous prime is 105055050203. The next prime is 105055050241. The reversal of 105055050240 is 42050550501.

105055050240 is a `hidden beast` number, since 10 + 50 + 550 + 50 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×105055050240² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055050241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471098769 + ... + 471098991.

Almost surely, 2^105055050240 is an apocalyptic number.

105055050240 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 105055050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219633942528).

105055050240 is an abundant number, since it is smaller than the sum of its proper divisors (334212834816).

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

105055050240 is a wasteful number, since it uses less digits than its factorization.

105055050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The spelling of 105055050240 in words is "one hundred five billion, fifty-five million, fifty thousand, two hundred forty".