10083161088 has 528 divisors, whose sum is σ = 39127111296. Its totient is φ = 2415329280.

The previous prime is 10083161083. The next prime is 10083161089. The reversal of 10083161088 is 88016138001.

10083161088 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 31 + 610 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083161083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9224670 + ... + 9225762.

Almost surely, 2^10083161088 is an apocalyptic number.

10083161088 is a gapful number since it is divisible by the number (18) 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 10083161088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19563555648).

10083161088 is an abundant number, since it is smaller than the sum of its proper divisors (29043950208).

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

10083161088 is a wasteful number, since it uses less digits than its factorization.

10083161088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

Adding to 10083161088 its reverse (88016138001), we get a palindrome (98099299089).

It can be divided in two parts, 10083 and 161088, that added together give a palindrome (171171).

The spelling of 10083161088 in words is "ten billion, eighty-three million, one hundred sixty-one thousand, eighty-eight".