108073045152 has 384 divisors, whose sum is σ = 339558912000. Its totient is φ = 33338511360.

The previous prime is 108073045117. The next prime is 108073045169. The reversal of 108073045152 is 251540370801.

108073045152 is a `hidden beast` number, since 10 + 80 + 73 + 0 + 451 + 52 = 666.

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

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, 233418873 + ... + 233419335.

It is an arithmetic number, because the mean of its divisors is an integer number (884268000).

Almost surely, 2^108073045152 is an apocalyptic number.

108073045152 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 108073045152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169779456000).

108073045152 is an abundant number, since it is smaller than the sum of its proper divisors (231485866848).

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

108073045152 is a wasteful number, since it uses less digits than its factorization.

108073045152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 108073045152 in words is "one hundred eight billion, seventy-three million, forty-five thousand, one hundred fifty-two".