10152000 has 224 divisors, whose sum is σ = 38039040. Its totient is φ = 2649600.

The previous prime is 10151987. The next prime is 10152011. The reversal of 10152000 is 25101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215977 + ... + 216023.

Almost surely, 2^10152000 is an apocalyptic number.

10152000 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 10152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019520).

10152000 is an abundant number, since it is smaller than the sum of its proper divisors (27887040).

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

10152000 is an equidigital number, since it uses as much as digits as its factorization.

10152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 10152000 is about 3186.2203313644. The cubic root of 10152000 is about 216.5295648083.

Adding to 10152000 its reverse (25101), we get a palindrome (10177101).

The spelling of 10152000 in words is "ten million, one hundred fifty-two thousand".