10535006700 has 108 divisors (see below), whose sum is σ = 33041244600. Its totient is φ = 2807646720.

The previous prime is 10535006681. The next prime is 10535006803. The reversal of 10535006700 is 760053501.

It is a super-3 number, since 3×10535006700³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2426932 + ... + 2431268.

It is an arithmetic number, because the mean of its divisors is an integer number (305937450).

Almost surely, 2^10535006700 is an apocalyptic number.

10535006700 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 10535006700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16520622300).

10535006700 is an abundant number, since it is smaller than the sum of its proper divisors (22506237900).

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

10535006700 is a wasteful number, since it uses less digits than its factorization.

10535006700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7056 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The spelling of 10535006700 in words is "ten billion, five hundred thirty-five million, six thousand, seven hundred".