100133781 has 32 divisors (see below), whose sum is σ = 158630400. Its totient is φ = 55500480.

The previous prime is 100133771. The next prime is 100133783. The reversal of 100133781 is 187331001.

It is not a de Polignac number, because 100133781 - 2⁵ = 100133749 is a prime.

It is a super-2 number, since 2×100133781² = 20053548194711922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133783) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15430 + ... + 20936.

It is an arithmetic number, because the mean of its divisors is an integer number (4957200).

Almost surely, 2^100133781 is an apocalyptic number.

100133781 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100133781 is a deficient number, since it is larger than the sum of its proper divisors (58496619).

100133781 is a wasteful number, since it uses less digits than its factorization.

100133781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 100133781 is about 10006.6868143257. The cubic root of 100133781 is about 464.3657765927.

Adding to 100133781 its reverse (187331001), we get a palindrome (287464782).

The spelling of 100133781 in words is "one hundred million, one hundred thirty-three thousand, seven hundred eighty-one".