108071901000 has 960 divisors, whose sum is σ = 446662410480. Its totient is φ = 24298444800.

The previous prime is 108071900977. The next prime is 108071901001. The reversal of 108071901000 is 109170801.

It can be written as a sum of positive squares in 8 ways, for example, as 5888106756 + 102183794244 = 76734^2 + 319662^2 .

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

It is not an unprimeable number, because it can be changed into a prime (108071901001) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 289736814 + ... + 289737186.

Almost surely, 2^108071901000 is an apocalyptic number.

108071901000 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 108071901000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223331205240).

108071901000 is an abundant number, since it is smaller than the sum of its proper divisors (338590509480).

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

108071901000 is a wasteful number, since it uses less digits than its factorization.

108071901000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 108071901000 in words is "one hundred eight billion, seventy-one million, nine hundred one thousand".