103580361 has 6 divisors (see below), whose sum is σ = 149616090. Its totient is φ = 69053568.

The previous prime is 103580329. The next prime is 103580363. The reversal of 103580361 is 163085301.

It can be written as a sum of positive squares in only one way, i.e., 76737600 + 26842761 = 8760^2 + 5181^2 .

It is not a de Polignac number, because 103580361 - 2⁵ = 103580329 is a prime.

It is a super-4 number, since 4×103580361⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (103580363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5754456 + ... + 5754473.

It is an arithmetic number, because the mean of its divisors is an integer number (24936015).

Almost surely, 2^103580361 is an apocalyptic number.

It is an amenable number.

103580361 is a deficient number, since it is larger than the sum of its proper divisors (46035729).

103580361 is a wasteful number, since it uses less digits than its factorization.

103580361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11508935 (or 11508932 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 103580361 is about 10177.4437360272. The cubic root of 103580361 is about 469.6335773877.

The spelling of 103580361 in words is "one hundred three million, five hundred eighty thousand, three hundred sixty-one".