1000108032 has 312 divisors, whose sum is σ = 3406407552. Its totient is φ = 258048000.

The previous prime is 1000108009. The next prime is 1000108033. The reversal of 1000108032 is 2308010001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000108033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6623157 + ... + 6623307.

Almost surely, 2^1000108032 is an apocalyptic number.

1000108032 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 1000108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703203776).

1000108032 is an abundant number, since it is smaller than the sum of its proper divisors (2406299520).

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

1000108032 is a wasteful number, since it uses less digits than its factorization.

1000108032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1000108032 is about 31624.4846914539. The cubic root of 1000108032 is about 1000.0360093700.

Adding to 1000108032 its reverse (2308010001), we get a palindrome (3308118033).

The spelling of 1000108032 in words is "one billion, one hundred eight thousand, thirty-two".