108142853760 has 384 divisors, whose sum is σ = 388351454400. Its totient is φ = 28757016576.

The previous prime is 108142853719. The next prime is 108142853779. The reversal of 108142853760 is 67358241801.

108142853760 is a `hidden beast` number, since 10 + 8 + 1 + 42 + 8 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×108142853760² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72627096 + ... + 72628584.

Almost surely, 2^108142853760 is an apocalyptic number.

108142853760 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 108142853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194175727200).

108142853760 is an abundant number, since it is smaller than the sum of its proper divisors (280208600640).

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

108142853760 is an equidigital number, since it uses as much as digits as its factorization.

108142853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 108142853760 in words is "one hundred eight billion, one hundred forty-two million, eight hundred fifty-three thousand, seven hundred sixty".