10689341000 has 128 divisors (see below), whose sum is σ = 27060415200. Its totient is φ = 3928780800.

The previous prime is 10689340993. The next prime is 10689341023. The reversal of 10689341000 is 14398601.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 5548164196 + 5141176804 = 74486^2 + 71702^2 .

It is a super-2 number, since 2×10689341000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3027236 + ... + 3030764.

Almost surely, 2^10689341000 is an apocalyptic number.

10689341000 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 10689341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13530207600).

10689341000 is an abundant number, since it is smaller than the sum of its proper divisors (16371074200).

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

10689341000 is a wasteful number, since it uses less digits than its factorization.

10689341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3796 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 10689341000 in words is "ten billion, six hundred eighty-nine million, three hundred forty-one thousand".