103585353 has 32 divisors (see below), whose sum is σ = 150896640. Its totient is φ = 63011520.

The previous prime is 103585343. The next prime is 103585357. The reversal of 103585353 is 353585301.

It is a happy number.

It is not a de Polignac number, because 103585353 - 2⁹ = 103584841 is a prime.

It is a super-3 number, since 3×103585353³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103585357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168675 + ... + 169287.

It is an arithmetic number, because the mean of its divisors is an integer number (4715520).

Almost surely, 2^103585353 is an apocalyptic number.

It is an amenable number.

103585353 is a deficient number, since it is larger than the sum of its proper divisors (47311287).

103585353 is a wasteful number, since it uses less digits than its factorization.

103585353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749.

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 103585353 is about 10177.6889812963. The cubic root of 103585353 is about 469.6411218460.

The spelling of 103585353 in words is "one hundred three million, five hundred eighty-five thousand, three hundred fifty-three".