100934144 has 20 divisors (see below), whose sum is σ = 201672174. Its totient is φ = 50466816.

The previous prime is 100934131. The next prime is 100934149. The reversal of 100934144 is 441439001.

It can be written as a sum of positive squares in only one way, i.e., 50694400 + 50239744 = 7120^2 + 7088^2 .

It is not an unprimeable number, because it can be changed into a prime (100934149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 98057 + ... + 99080.

Almost surely, 2^100934144 is an apocalyptic number.

It is an amenable number.

100934144 is a deficient number, since it is larger than the sum of its proper divisors (100738030).

100934144 is an frugal number, since it uses more digits than its factorization.

100934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197155 (or 197139 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 100934144 is about 10046.5986283916. The cubic root of 100934144 is about 465.5997102851.

It can be divided in two parts, 1009 and 34144, that added together give a palindrome (35153).

The spelling of 100934144 in words is "one hundred million, nine hundred thirty-four thousand, one hundred forty-four".