10535364 has 72 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 2972160.

The previous prime is 10535351. The next prime is 10535377. The reversal of 10535364 is 46353501.

It is an interprime number because it is at equal distance from previous prime (10535351) and next prime (10535377).

It is a super-2 number, since 2×10535364² = 221987789224992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24229 + ... + 24659.

It is an arithmetic number, because the mean of its divisors is an integer number (428064).

Almost surely, 2^10535364 is an apocalyptic number.

10535364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10535364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

10535364 is an abundant number, since it is smaller than the sum of its proper divisors (20285244).

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

10535364 is a wasteful number, since it uses less digits than its factorization.

10535364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 10535364 is about 3245.8225459812. The cubic root of 10535364 is about 219.2215185244.

Adding to 10535364 its reverse (46353501), we get a palindrome (56888865).

The spelling of 10535364 in words is "ten million, five hundred thirty-five thousand, three hundred sixty-four".