10625410200 has 96 divisors (see below), whose sum is σ = 33176001600. Its totient is φ = 2813036160.

The previous prime is 10625410189. The next prime is 10625410217. The reversal of 10625410200 is 201452601.

It is a super-2 number, since 2×10625410200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 19699 + ... + 147101.

It is an arithmetic number, because the mean of its divisors is an integer number (345583350).

Almost surely, 2^10625410200 is an apocalyptic number.

10625410200 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 10625410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588000800).

10625410200 is an abundant number, since it is smaller than the sum of its proper divisors (22550591400).

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

10625410200 is a wasteful number, since it uses less digits than its factorization.

10625410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127561 (or 127552 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10625410200 its reverse (201452601), we get a palindrome (10826862801).

The spelling of 10625410200 in words is "ten billion, six hundred twenty-five million, four hundred ten thousand, two hundred".