102241408 has 32 divisors (see below), whose sum is σ = 204946560. Its totient is φ = 50803968.

The previous prime is 102241393. The next prime is 102241409. The reversal of 102241408 is 804142201.

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

It is not an unprimeable number, because it can be changed into a prime (102241409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18985 + ... + 23767.

It is an arithmetic number, because the mean of its divisors is an integer number (6404580).

Almost surely, 2^102241408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102241408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102473280).

102241408 is an abundant number, since it is smaller than the sum of its proper divisors (102705152).

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

102241408 is an equidigital number, since it uses as much as digits as its factorization.

102241408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4964 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 102241408 is about 10111.4493520959. The cubic root of 102241408 is about 467.6011894548.

Adding to 102241408 its reverse (804142201), we get a palindrome (906383609).

The spelling of 102241408 in words is "one hundred two million, two hundred forty-one thousand, four hundred eight".