100386944 has 64 divisors (see below), whose sum is σ = 230193600. Its totient is φ = 42716160.

The previous prime is 100386941. The next prime is 100386991. The reversal of 100386944 is 449683001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (100386941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161867 + ... + 162485.

It is an arithmetic number, because the mean of its divisors is an integer number (3596775).

Almost surely, 2^100386944 is an apocalyptic number.

100386944 is a gapful number since it is divisible by the number (14) 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 100386944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115096800).

100386944 is an abundant number, since it is smaller than the sum of its proper divisors (129806656).

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

100386944 is an equidigital number, since it uses as much as digits as its factorization.

100386944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 100386944 is about 10019.3285204149. The cubic root of 100386944 is about 464.7567911502.

The spelling of 100386944 in words is "one hundred million, three hundred eighty-six thousand, nine hundred forty-four".