108185837760 has 1344 divisors, whose sum is σ = 521875146240. Its totient is φ = 20739317760.

The previous prime is 108185837701. The next prime is 108185837761. The reversal of 108185837760 is 67738581801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 108185837697 and 108185837706.

It is not an unprimeable number, because it can be changed into a prime (108185837761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60539587 + ... + 60541373.

It is an arithmetic number, because the mean of its divisors is an integer number (388299960).

Almost surely, 2^108185837760 is an apocalyptic number.

108185837760 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 108185837760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260937573120).

108185837760 is an abundant number, since it is smaller than the sum of its proper divisors (413689308480).

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

108185837760 is a wasteful number, since it uses less digits than its factorization.

108185837760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 108185837760 in words is "one hundred eight billion, one hundred eighty-five million, eight hundred thirty-seven thousand, seven hundred sixty".