105207480 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 23710464.

The previous prime is 105207457. The next prime is 105207481. The reversal of 105207480 is 84702501.

It is a super-2 number, since 2×105207480² = 22137227695900800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105207481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 208909 + ... + 209411.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^105207480 is an apocalyptic number.

105207480 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 105207480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

105207480 is an abundant number, since it is smaller than the sum of its proper divisors (291057480).

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

105207480 is a wasteful number, since it uses less digits than its factorization.

105207480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 105207480 is about 10257.0697570018. The cubic root of 105207480 is about 472.0799323596.

Adding to 105207480 its reverse (84702501), we get a palindrome (189909981).

The spelling of 105207480 in words is "one hundred five million, two hundred seven thousand, four hundred eighty".