10152900 has 108 divisors (see below), whose sum is σ = 33005700. Its totient is φ = 2607360.

The previous prime is 10152899. The next prime is 10152907. The reversal of 10152900 is 925101.

It can be written as a sum of positive squares in 6 ways, for example, as 715716 + 9437184 = 846^2 + 3072^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10152907) 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 35 ways as a sum of consecutive naturals, for example, 25906 + ... + 26294.

Almost surely, 2^10152900 is an apocalyptic number.

10152900 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 10152900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16502850).

10152900 is an abundant number, since it is smaller than the sum of its proper divisors (22852800).

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

10152900 is a wasteful number, since it uses less digits than its factorization.

10152900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10152900 is about 3186.3615614051. The cubic root of 10152900 is about 216.5359632470.

The spelling of 10152900 in words is "ten million, one hundred fifty-two thousand, nine hundred".