10735100000 has 72 divisors (see below), whose sum is σ = 26416965456. Its totient is φ = 4294000000.

The previous prime is 10735099993. The next prime is 10735100009. The reversal of 10735100000 is 153701.

10735100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10735100009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 46325 + ... + 153675.

It is an arithmetic number, because the mean of its divisors is an integer number (366902298).

Almost surely, 2^10735100000 is an apocalyptic number.

10735100000 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 10735100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208482728).

10735100000 is an abundant number, since it is smaller than the sum of its proper divisors (15681865456).

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

10735100000 is an frugal number, since it uses more digits than its factorization.

10735100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107386 (or 107358 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

Adding to 10735100000 its reverse (153701), we get a palindrome (10735253701).

The spelling of 10735100000 in words is "ten billion, seven hundred thirty-five million, one hundred thousand".