10502541200 has 60 divisors (see below), whose sum is σ = 25279516308. Its totient is φ = 4193164800.

The previous prime is 10502541167. The next prime is 10502541233. The reversal of 10502541200 is 214520501.

It is an interprime number because it is at equal distance from previous prime (10502541167) and next prime (10502541233).

It can be written as a sum of positive squares in 6 ways, for example, as 6948496 + 10495592704 = 2636^2 + 102448^2 .

It is a super-2 number, since 2×10502541200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192134 + ... + 240666.

Almost surely, 2^10502541200 is an apocalyptic number.

10502541200 is a gapful number since it is divisible by the number (10) 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 10502541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639758154).

10502541200 is an abundant number, since it is smaller than the sum of its proper divisors (14776975108).

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

10502541200 is a wasteful number, since it uses less digits than its factorization.

10502541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49092 (or 49081 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 10502541200 in words is "ten billion, five hundred two million, five hundred forty-one thousand, two hundred".