108072433152 has 120 divisors (see below), whose sum is σ = 317018370240. Its totient is φ = 35433492480.

The previous prime is 108072433129. The next prime is 108072433153. The reversal of 108072433152 is 251334270801.

108072433152 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 72 + 433 + 152 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108072433153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88849 + ... + 473327.

It is an arithmetic number, because the mean of its divisors is an integer number (2641819752).

Almost surely, 2^108072433152 is an apocalyptic number.

108072433152 is a gapful number since it is divisible by the number (12) 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 108072433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158509185120).

108072433152 is an abundant number, since it is smaller than the sum of its proper divisors (208945937088).

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

108072433152 is an equidigital number, since it uses as much as digits as its factorization.

108072433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384564 (or 384545 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 108072433152 in words is "one hundred eight billion, seventy-two million, four hundred thirty-three thousand, one hundred fifty-two".