10005283700 has 72 divisors (see below), whose sum is σ = 23084944344. Its totient is φ = 3750912000.

The previous prime is 10005283679. The next prime is 10005283703. The reversal of 10005283700 is 738250001.

It can be written as a sum of positive squares in 12 ways, for example, as 3596640784 + 6408642916 = 59972^2 + 80054^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10005283700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005283703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 397490 + ... + 421910.

It is an arithmetic number, because the mean of its divisors is an integer number (320624227).

Almost surely, 2^10005283700 is an apocalyptic number.

10005283700 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 10005283700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542472172).

10005283700 is an abundant number, since it is smaller than the sum of its proper divisors (13079660644).

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

10005283700 is a wasteful number, since it uses less digits than its factorization.

10005283700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24693 (or 24686 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 10005283700 in words is "ten billion, five million, two hundred eighty-three thousand, seven hundred".