10706735114000 has 40 divisors (see below), whose sum is σ = 25888885510488. Its totient is φ = 4282694044800.

The previous prime is 10706735113939. The next prime is 10706735114051. The reversal of 10706735114000 is 41153760701.

It can be written as a sum of positive squares in 4 ways, for example, as 106840074496 + 10599895039504 = 326864^2 + 3255748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10706735114000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2676681779 + ... + 2676685778.

Almost surely, 2^{10706735114000} is an apocalyptic number.

10706735114000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10706735114000 is an abundant number, since it is smaller than the sum of its proper divisors (15182150396488).

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

10706735114000 is an equidigital number, since it uses as much as digits as its factorization.

10706735114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353367580 (or 5353367564 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

Adding to 10706735114000 its reverse (41153760701), we get a palindrome (10747888874701).

The spelling of 10706735114000 in words is "ten trillion, seven hundred six billion, seven hundred thirty-five million, one hundred fourteen thousand".