10732900 has 36 divisors (see below), whose sum is σ = 24100020. Its totient is φ = 4144000.

The previous prime is 10732879. The next prime is 10732907. The reversal of 10732900 is 923701.

It can be written as a sum of positive squares in 6 ways, for example, as 338724 + 10394176 = 582^2 + 3224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10732907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1050 + ... + 4750.

It is an arithmetic number, because the mean of its divisors is an integer number (669445).

It is a vampire number, since it can be written as 2900 ⋅ 3701 (with its own digits).

Almost surely, 2^10732900 is an apocalyptic number.

10732900 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 10732900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12050010).

10732900 is an abundant number, since it is smaller than the sum of its proper divisors (13367120).

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

10732900 is a wasteful number, since it uses less digits than its factorization.

10732900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 10732900 is about 3276.1104987470. The cubic root of 10732900 is about 220.5831635610.

The spelling of 10732900 in words is "ten million, seven hundred thirty-two thousand, nine hundred".