10354564 has 48 divisors (see below), whose sum is σ = 21288960. Its totient is φ = 4354560.

The previous prime is 10354541. The next prime is 10354571. The reversal of 10354564 is 46545301.

It is a super-3 number, since 3×10354564³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81469 + ... + 81595.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 2^10354564 is an apocalyptic number.

It is an amenable number.

10354564 is an abundant number, since it is smaller than the sum of its proper divisors (10934396).

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

10354564 is a wasteful number, since it uses less digits than its factorization.

10354564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 10354564 is about 3217.8508355733. The cubic root of 10354564 is about 217.9602373962.

Adding to 10354564 its reverse (46545301), we get a palindrome (56899865).

The spelling of 10354564 in words is "ten million, three hundred fifty-four thousand, five hundred sixty-four".