100133368 has 32 divisors (see below), whose sum is σ = 190589760. Its totient is φ = 49315840.

The previous prime is 100133351. The next prime is 100133399. The reversal of 100133368 is 863331001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232113 + ... + 232543.

It is an arithmetic number, because the mean of its divisors is an integer number (5955930).

Almost surely, 2^100133368 is an apocalyptic number.

It is an amenable number.

100133368 is a deficient number, since it is larger than the sum of its proper divisors (90456392).

100133368 is a wasteful number, since it uses less digits than its factorization.

100133368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 100133368 is about 10006.6661781035. Note that the first 3 decimals coincide. The cubic root of 100133368 is about 464.3651381690.

Adding to 100133368 its reverse (863331001), we get a palindrome (963464369).

The spelling of 100133368 in words is "one hundred million, one hundred thirty-three thousand, three hundred sixty-eight".