10702165056 has 112 divisors (see below), whose sum is σ = 31644019008. Its totient is φ = 3163955200.

The previous prime is 10702165051. The next prime is 10702165099. The reversal of 10702165056 is 65056120701.

It is a super-2 number, since 2×10702165056² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10702165051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24796 + ... + 148388.

It is an arithmetic number, because the mean of its divisors is an integer number (282535884).

Almost surely, 2^10702165056 is an apocalyptic number.

10702165056 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 10702165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15822009504).

10702165056 is an abundant number, since it is smaller than the sum of its proper divisors (20941853952).

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

10702165056 is a wasteful number, since it uses less digits than its factorization.

10702165056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123660 (or 123650 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

Adding to 10702165056 its reverse (65056120701), we get a palindrome (75758285757).

The spelling of 10702165056 in words is "ten billion, seven hundred two million, one hundred sixty-five thousand, fifty-six".