10723105134000 has 1600 divisors, whose sum is σ = 46863411978240. Its totient is φ = 2311139174400.

The previous prime is 10723105133963. The next prime is 10723105134017. The reversal of 10723105134000 is 43150132701.

10723105134000 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 310 + 5 + 1 + 340 + 0 + 0 = 666.

10723105134000 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 2×10723105134000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1414094209 + ... + 1414101791.

Almost surely, 2^{10723105134000} is an apocalyptic number.

10723105134000 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 10723105134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23431705989120).

10723105134000 is an abundant number, since it is smaller than the sum of its proper divisors (36140306844240).

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

10723105134000 is a wasteful number, since it uses less digits than its factorization.

10723105134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7697 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10723105134000 its reverse (43150132701), we get a palindrome (10766255266701).

The spelling of 10723105134000 in words is "ten trillion, seven hundred twenty-three billion, one hundred five million, one hundred thirty-four thousand".