10149600 has 72 divisors (see below), whose sum is σ = 33044760. Its totient is φ = 2705920.

The previous prime is 10149599. The next prime is 10149611. The reversal of 10149600 is 694101.

It is a congruent number.

It is an unprimeable number.

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, 286 + ... + 4514.

It is an arithmetic number, because the mean of its divisors is an integer number (458955).

Almost surely, 2^10149600 is an apocalyptic number.

10149600 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 10149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522380).

10149600 is an abundant number, since it is smaller than the sum of its proper divisors (22895160).

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

10149600 is a wasteful number, since it uses less digits than its factorization.

10149600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10149600 is about 3185.8436873142. The cubic root of 10149600 is about 216.5125004561.

It can be divided in two parts, 1014 and 9600, that multiplied together give a square (9734400 = 3120²).

The spelling of 10149600 in words is "ten million, one hundred forty-nine thousand, six hundred".