108032901120 has 600 divisors, whose sum is σ = 394704466464. Its totient is φ = 28378791936.

The previous prime is 108032901103. The next prime is 108032901121. The reversal of 108032901120 is 21109230801.

It is a super-2 number, since 2×108032901120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108032901121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1612431327 + ... + 1612431393.

Almost surely, 2^108032901120 is an apocalyptic number.

108032901120 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 108032901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197352233232).

108032901120 is an abundant number, since it is smaller than the sum of its proper divisors (286671565344).

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

108032901120 is an frugal number, since it uses more digits than its factorization.

108032901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 108032901120 in words is "one hundred eight billion, thirty-two million, nine hundred one thousand, one hundred twenty".