105122480 has 40 divisors (see below), whose sum is σ = 246078000. Its totient is φ = 41762048.

The previous prime is 105122467. The next prime is 105122527. The reversal of 105122480 is 84221501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105122480² = 22101471602700800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7511 + ... + 16329.

It is an arithmetic number, because the mean of its divisors is an integer number (6151950).

Almost surely, 2^105122480 is an apocalyptic number.

105122480 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 105122480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123039000).

105122480 is an abundant number, since it is smaller than the sum of its proper divisors (140955520).

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

105122480 is a wasteful number, since it uses less digits than its factorization.

105122480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8975 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 105122480 is about 10252.9254361865. The cubic root of 105122480 is about 471.9527626767.

Adding to 105122480 its reverse (84221501), we get a palindrome (189343981).

The spelling of 105122480 in words is "one hundred five million, one hundred twenty-two thousand, four hundred eighty".