100032768 has 108 divisors (see below), whose sum is σ = 314718768. Its totient is φ = 30305280.

The previous prime is 100032763. The next prime is 100032781. The reversal of 100032768 is 867230001.

It is not an unprimeable number, because it can be changed into a prime (100032763) 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 11 ways as a sum of consecutive naturals, for example, 23371 + ... + 27317.

Almost surely, 2^100032768 is an apocalyptic number.

100032768 is a gapful number since it is divisible by the number (18) 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 100032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157359384).

100032768 is an abundant number, since it is smaller than the sum of its proper divisors (214686000).

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

100032768 is a wasteful number, since it uses less digits than its factorization.

100032768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100032768 is about 10001.6382658043. The cubic root of 100032768 is about 464.2095763523.

Adding to 100032768 its reverse (867230001), we get a palindrome (967262769).

It can be divided in two parts, 1000 and 32768, that multiplied together give a cube (32768000 = 320³).

The spelling of 100032768 in words is "one hundred million, thirty-two thousand, seven hundred sixty-eight".