10729800 has 96 divisors (see below), whose sum is σ = 36976800. Its totient is φ = 2859840.

The previous prime is 10729781. The next prime is 10729837. The reversal of 10729800 is 892701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4407 + ... + 6393.

It is an arithmetic number, because the mean of its divisors is an integer number (385175).

Almost surely, 2^10729800 is an apocalyptic number.

10729800 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 10729800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18488400).

10729800 is an abundant number, since it is smaller than the sum of its proper divisors (26247000).

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

10729800 is a wasteful number, since it uses less digits than its factorization.

10729800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 10729800 is about 3275.6373425640. The cubic root of 10729800 is about 220.5619243913.

The spelling of 10729800 in words is "ten million, seven hundred twenty-nine thousand, eight hundred".