105230480 has 40 divisors (see below), whose sum is σ = 245427000. Its totient is φ = 41960448.

The previous prime is 105230467. The next prime is 105230513. The reversal of 105230480 is 84032501.

It can be written as a sum of positive squares in 4 ways, for example, as 35808256 + 69422224 = 5984^2 + 8332^2 .

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

It is a super-2 number, since 2×105230480² = 22146907842060800, 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, 26036 + ... + 29804.

It is an arithmetic number, because the mean of its divisors is an integer number (6135675).

Almost surely, 2^105230480 is an apocalyptic number.

105230480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105230480 is an abundant number, since it is smaller than the sum of its proper divisors (140196520).

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

105230480 is a wasteful number, since it uses less digits than its factorization.

105230480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4131 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 105230480 is about 10258.1908736385. The cubic root of 105230480 is about 472.1143312043.

Adding to 105230480 its reverse (84032501), we get a palindrome (189262981).

The spelling of 105230480 in words is "one hundred five million, two hundred thirty thousand, four hundred eighty".