10901723300 has 72 divisors (see below), whose sum is σ = 25739430696. Its totient is φ = 3983708160.

The previous prime is 10901723299. The next prime is 10901723311. The reversal of 10901723300 is 332710901.

It can be written as a sum of positive squares in 12 ways, for example, as 7384996096 + 3516727204 = 85936^2 + 59302^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10901723300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82874 + ... + 169326.

It is an arithmetic number, because the mean of its divisors is an integer number (357492093).

Almost surely, 2^10901723300 is an apocalyptic number.

10901723300 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 10901723300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869715348).

10901723300 is an abundant number, since it is smaller than the sum of its proper divisors (14837707396).

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

10901723300 is a wasteful number, since it uses less digits than its factorization.

10901723300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86577 (or 86570 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 26.

The spelling of 10901723300 in words is "ten billion, nine hundred one million, seven hundred twenty-three thousand, three hundred".