108357214720 has 160 divisors (see below), whose sum is σ = 269313588720. Its totient is φ = 41762488320.

The previous prime is 108357214717. The next prime is 108357214723. The reversal of 108357214720 is 27412753801.

It is an interprime number because it is at equal distance from previous prime (108357214717) and next prime (108357214723).

It can be written as a sum of positive squares in 8 ways, for example, as 26708224 + 108330506496 = 5168^2 + 329136^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (108357214723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45507930 + ... + 45510310.

Almost surely, 2^108357214720 is an apocalyptic number.

108357214720 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 108357214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134656794360).

108357214720 is an abundant number, since it is smaller than the sum of its proper divisors (160956374000).

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

108357214720 is an equidigital number, since it uses as much as digits as its factorization.

108357214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 108357214720 in words is "one hundred eight billion, three hundred fifty-seven million, two hundred fourteen thousand, seven hundred twenty".