100133568 has 84 divisors (see below), whose sum is σ = 288541968. Its totient is φ = 33200640.

The previous prime is 100133567. The next prime is 100133569. The reversal of 100133568 is 865331001.

It is an interprime number because it is at equal distance from previous prime (100133567) and next prime (100133569).

It is not an unprimeable number, because it can be changed into a prime (100133567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151158 + ... + 151818.

Almost surely, 2^100133568 is an apocalyptic number.

100133568 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 100133568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144270984).

100133568 is an abundant number, since it is smaller than the sum of its proper divisors (188408400).

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

100133568 is a wasteful number, since it uses less digits than its factorization.

100133568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 100133568 is about 10006.6761714367. The cubic root of 100133568 is about 464.3654473332.

Adding to 100133568 its reverse (865331001), we get a palindrome (965464569).

The spelling of 100133568 in words is "one hundred million, one hundred thirty-three thousand, five hundred sixty-eight".