108261240000 has 560 divisors, whose sum is σ = 381258958080. Its totient is φ = 27025920000.

The previous prime is 108261239993. The next prime is 108261240007. The reversal of 108261240000 is 42162801.

It is an interprime number because it is at equal distance from previous prime (108261239993) and next prime (108261240007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108261240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 234839770 + ... + 234840230.

It is an arithmetic number, because the mean of its divisors is an integer number (680819568).

Almost surely, 2^108261240000 is an apocalyptic number.

108261240000 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 108261240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190629479040).

108261240000 is an abundant number, since it is smaller than the sum of its proper divisors (272997718080).

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

108261240000 is a wasteful number, since it uses less digits than its factorization.

108261240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 108261240000 in words is "one hundred eight billion, two hundred sixty-one million, two hundred forty thousand".