10523412200 has 192 divisors, whose sum is σ = 29732918400. Its totient is φ = 3383424000.

The previous prime is 10523412197. The next prime is 10523412223. The reversal of 10523412200 is 221432501.

It is a super-2 number, since 2×10523412200² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2684642 + ... + 2688558.

It is an arithmetic number, because the mean of its divisors is an integer number (154858950).

Almost surely, 2^10523412200 is an apocalyptic number.

10523412200 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 10523412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14866459200).

10523412200 is an abundant number, since it is smaller than the sum of its proper divisors (19209506200).

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

10523412200 is a wasteful number, since it uses less digits than its factorization.

10523412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4060 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10523412200 its reverse (221432501), we get a palindrome (10744844701).

The spelling of 10523412200 in words is "ten billion, five hundred twenty-three million, four hundred twelve thousand, two hundred".