103585430 has 32 divisors (see below), whose sum is σ = 201253248. Its totient is φ = 38160000.

The previous prime is 103585429. The next prime is 103585451. The reversal of 103585430 is 34585301.

It is a super-3 number, since 3×103585430³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103585393 and 103585402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97100 + ... + 98160.

It is an arithmetic number, because the mean of its divisors is an integer number (6289164).

Almost surely, 2^103585430 is an apocalyptic number.

103585430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103585430 is a deficient number, since it is larger than the sum of its proper divisors (97667818).

103585430 is a wasteful number, since it uses less digits than its factorization.

103585430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 103585430 is about 10177.6927640797. The cubic root of 103585430 is about 469.6412382150.

The spelling of 103585430 in words is "one hundred three million, five hundred eighty-five thousand, four hundred thirty".