105000480 has 288 divisors, whose sum is σ = 396264960. Its totient is φ = 25159680.

The previous prime is 105000437. The next prime is 105000481. The reversal of 105000480 is 84000501.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105000480² = 22050201600460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (105000481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1329081 + ... + 1329159.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^105000480 is an apocalyptic number.

105000480 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 105000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

105000480 is an abundant number, since it is smaller than the sum of its proper divisors (291264480).

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

105000480 is a wasteful number, since it uses less digits than its factorization.

105000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105000480 is about 10246.9741875346. The cubic root of 105000480 is about 471.7701169173.

Adding to 105000480 its reverse (84000501), we get a palindrome (189000981).

The spelling of 105000480 in words is "one hundred five million, four hundred eighty", and thus it is an aban number.