100332768 has 96 divisors (see below), whose sum is σ = 281715840. Its totient is φ = 31173120.

The previous prime is 100332761. The next prime is 100332773. The reversal of 100332768 is 867233001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121798 + ... + 122618.

It is an arithmetic number, because the mean of its divisors is an integer number (2934540).

Almost surely, 2^100332768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100332768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140857920).

100332768 is an abundant number, since it is smaller than the sum of its proper divisors (181383072).

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

100332768 is a wasteful number, since it uses less digits than its factorization.

100332768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 100332768 is about 10016.6245811651. The cubic root of 100332768 is about 464.6731707322.

Adding to 100332768 its reverse (867233001), we get a palindrome (967565769).

It can be divided in two parts, 10033276 and 8, that multiplied together give a palindrome (80266208).

The spelling of 100332768 in words is "one hundred million, three hundred thirty-two thousand, seven hundred sixty-eight".