108083145138240 has 448 divisors, whose sum is σ = 355836777873408. Its totient is φ = 27776922624000.

The previous prime is 108083145138211. The next prime is 108083145138277. The reversal of 108083145138240 is 42831541380801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 108083145138240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9979049625 + ... + 9979060455.

Almost surely, 2^{108083145138240} is an apocalyptic number.

108083145138240 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 108083145138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177918388936704).

108083145138240 is an abundant number, since it is smaller than the sum of its proper divisors (247753632735168).

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

108083145138240 is a wasteful number, since it uses less digits than its factorization.

108083145138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14266 (or 14256 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 108083145138240 in words is "one hundred eight trillion, eighty-three billion, one hundred forty-five million, one hundred thirty-eight thousand, two hundred forty".