10681429200 has 240 divisors, whose sum is σ = 37546346880. Its totient is φ = 2579466240.

The previous prime is 10681429163. The next prime is 10681429211. The reversal of 10681429200 is 292418601.

10681429200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 103351²-1.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10681429200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820341 + ... + 833259.

It is an arithmetic number, because the mean of its divisors is an integer number (156443112).

Almost surely, 2^10681429200 is an apocalyptic number.

10681429200 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 10681429200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18773173440).

10681429200 is an abundant number, since it is smaller than the sum of its proper divisors (26864917680).

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

10681429200 is a wasteful number, since it uses less digits than its factorization.

10681429200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006 (or 12995 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 10681429200 in words is "ten billion, six hundred eighty-one million, four hundred twenty-nine thousand, two hundred".