108617034240 has 1680 divisors, whose sum is σ = 474690258504. Its totient is φ = 23648993280.

The previous prime is 108617034221. The next prime is 108617034241. The reversal of 108617034240 is 42430716801.

108617034240 is a `hidden beast` number, since 1 + 0 + 8 + 617 + 0 + 34 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 89625989376 + 18991044864 = 299376^2 + 137808^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 108617034195 and 108617034204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108617034241) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2935595502 + ... + 2935595538.

Almost surely, 2^108617034240 is an apocalyptic number.

108617034240 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 108617034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237345129252).

108617034240 is an abundant number, since it is smaller than the sum of its proper divisors (366073224264).

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

108617034240 is an equidigital number, since it uses as much as digits as its factorization.

108617034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 108617034240 in words is "one hundred eight billion, six hundred seventeen million, thirty-four thousand, two hundred forty".