100944768 has 32 divisors (see below), whose sum is σ = 268135560. Its totient is φ = 33648128.

The previous prime is 100944749. The next prime is 100944787. The reversal of 100944768 is 867449001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100944749) and next prime (100944787).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131055 + ... + 131822.

Almost surely, 2^100944768 is an apocalyptic number.

It is an amenable number.

100944768 is an abundant number, since it is smaller than the sum of its proper divisors (167190792).

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

100944768 is an equidigital number, since it uses as much as digits as its factorization.

100944768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262894 (or 262882 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 100944768 is about 10047.1273506411. The cubic root of 100944768 is about 465.6160455495.

The spelling of 100944768 in words is "one hundred million, nine hundred forty-four thousand, seven hundred sixty-eight".