10100743668 has 36 divisors (see below), whose sum is σ = 25559483040. Its totient is φ = 3363347856.

The previous prime is 10100743661. The next prime is 10100743721. The reversal of 10100743668 is 86634700101.

10100743668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100743661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114048 + ... + 182231.

It is an arithmetic number, because the mean of its divisors is an integer number (709985640).

Almost surely, 2^10100743668 is an apocalyptic number.

10100743668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10100743668 is an abundant number, since it is smaller than the sum of its proper divisors (15458739372).

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

10100743668 is a wasteful number, since it uses less digits than its factorization.

10100743668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297236 (or 297231 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10100743668 in words is "ten billion, one hundred million, seven hundred forty-three thousand, six hundred sixty-eight".