10705047136 has 144 divisors (see below), whose sum is σ = 25609173408. Its totient is φ = 4313548800.

The previous prime is 10705047107. The next prime is 10705047137. The reversal of 10705047136 is 63174050701.

It is a super-2 number, since 2×10705047136² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10705047137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7227516 + ... + 7228996.

It is an arithmetic number, because the mean of its divisors is an integer number (177841482).

Almost surely, 2^10705047136 is an apocalyptic number.

10705047136 is a gapful number since it is divisible by the number (16) 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 10705047136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12804586704).

10705047136 is an abundant number, since it is smaller than the sum of its proper divisors (14904126272).

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

10705047136 is a wasteful number, since it uses less digits than its factorization.

10705047136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

Adding to 10705047136 its reverse (63174050701), we get a palindrome (73879097837).

The spelling of 10705047136 in words is "ten billion, seven hundred five million, forty-seven thousand, one hundred thirty-six".