10700405000 has 80 divisors (see below), whose sum is σ = 26161375680. Its totient is φ = 4094024000.

The previous prime is 10700404999. The next prime is 10700405003. The reversal of 10700405000 is 50400701.

It is a happy number.

10700405000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10700405000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10700405000.

It is not an unprimeable number, because it can be changed into a prime (10700405003) 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 19 ways as a sum of consecutive naturals, for example, 68477 + ... + 161523.

It is an arithmetic number, because the mean of its divisors is an integer number (327017196).

Almost surely, 2^10700405000 is an apocalyptic number.

10700405000 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 10700405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080687840).

10700405000 is an abundant number, since it is smaller than the sum of its proper divisors (15460970680).

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

10700405000 is an equidigital number, since it uses as much as digits as its factorization.

10700405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93096 (or 93077 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

Adding to 10700405000 its reverse (50400701), we get a palindrome (10750805701).

The spelling of 10700405000 in words is "ten billion, seven hundred million, four hundred five thousand".