108952335360 has 1056 divisors, whose sum is σ = 450641318400. Its totient is φ = 24962826240.

The previous prime is 108952335329. The next prime is 108952335383. The reversal of 108952335360 is 63533259801.

It is a happy number.

108952335360 is a `hidden beast` number, since 1 + 0 + 8 + 95 + 23 + 3 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×108952335360³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 260029231 + ... + 260029649.

Almost surely, 2^108952335360 is an apocalyptic number.

108952335360 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 108952335360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225320659200).

108952335360 is an abundant number, since it is smaller than the sum of its proper divisors (341688983040).

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

108952335360 is a wasteful number, since it uses less digits than its factorization.

108952335360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 108952335360 in words is "one hundred eight billion, nine hundred fifty-two million, three hundred thirty-five thousand, three hundred sixty".