105138580 has 12 divisors (see below), whose sum is σ = 220791060. Its totient is φ = 42055424.

The previous prime is 105138541. The next prime is 105138581. The reversal of 105138580 is 85831501.

It can be written as a sum of positive squares in 2 ways, for example, as 47803396 + 57335184 = 6914^2 + 7572^2 .

It is a super-2 number, since 2×105138580² = 22108242008832800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105138581) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2628445 + ... + 2628484.

It is an arithmetic number, because the mean of its divisors is an integer number (18399255).

Almost surely, 2^105138580 is an apocalyptic number.

105138580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105138580 is an abundant number, since it is smaller than the sum of its proper divisors (115652480).

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

105138580 is a wasteful number, since it uses less digits than its factorization.

105138580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256938 (or 5256936 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 105138580 is about 10253.7105478944. The cubic root of 105138580 is about 471.9768553719.

The spelling of 105138580 in words is "one hundred five million, one hundred thirty-eight thousand, five hundred eighty".