102444100 has 36 divisors (see below), whose sum is σ = 242515728. Its totient is φ = 37252000.

The previous prime is 102444061. The next prime is 102444101. The reversal of 102444100 is 1444201.

It is not an unprimeable number, because it can be changed into a prime (102444101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45466 + ... + 47665.

It is an arithmetic number, because the mean of its divisors is an integer number (6736548).

Almost surely, 2^102444100 is an apocalyptic number.

102444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102444100 is an abundant number, since it is smaller than the sum of its proper divisors (140071628).

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

102444100 is a wasteful number, since it uses less digits than its factorization.

102444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93156 (or 93149 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 102444100 is about 10121.4672849345. The cubic root of 102444100 is about 467.9099895075.

Adding to 102444100 its reverse (1444201), we get a palindrome (103888301).

It can be divided in two parts, 1024 and 44100, that multiplied together give a square (45158400 = 6720²).

The spelling of 102444100 in words is "one hundred two million, four hundred forty-four thousand, one hundred".