10803523600 has 45 divisors (see below), whose sum is σ = 25960460727. Its totient is φ = 4320577920.

The previous prime is 10803523583. The next prime is 10803523603. The reversal of 10803523600 is 632530801.

The square root of 10803523600 is 103940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 363588624 + 10439934976 = 19068^2 + 102176^2 .

It is a super-2 number, since 2×10803523600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10803523603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2076202 + ... + 2081398.

Almost surely, 2^10803523600 is an apocalyptic number.

10803523600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10803523600 is the 103940-th square number.

It is an amenable number.

10803523600 is an abundant number, since it is smaller than the sum of its proper divisors (15156937127).

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

10803523600 is an frugal number, since it uses more digits than its factorization.

10803523600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10412 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 10803523600 in words is "ten billion, eight hundred three million, five hundred twenty-three thousand, six hundred".