10141600 has 72 divisors (see below), whose sum is σ = 28310688. Its totient is φ = 3475200.

The previous prime is 10141583. The next prime is 10141601. The reversal of 10141600 is 614101.

It is not an unprimeable number, because it can be changed into a prime (10141601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4695 + ... + 6505.

It is an arithmetic number, because the mean of its divisors is an integer number (393204).

Almost surely, 2^10141600 is an apocalyptic number.

10141600 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 10141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155344).

10141600 is an abundant number, since it is smaller than the sum of its proper divisors (18169088).

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

10141600 is a wasteful number, since it uses less digits than its factorization.

10141600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10141600 is about 3184.5878854257. The cubic root of 10141600 is about 216.4555998463.

Adding to 10141600 its reverse (614101), we get a palindrome (10755701).

The spelling of 10141600 in words is "ten million, one hundred forty-one thousand, six hundred".