102401024 has 44 divisors (see below), whose sum is σ = 223335888. Its totient is φ = 46540800.

The previous prime is 102401023. The next prime is 102401027. The reversal of 102401024 is 420104201.

It is a tau number, because it is divible by the number of its divisors (44).

It is not an unprimeable number, because it can be changed into a prime (102401023) 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, 6719 + ... + 15809.

Almost surely, 2^102401024 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 102401024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111667944).

102401024 is an abundant number, since it is smaller than the sum of its proper divisors (120934864).

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

102401024 is an equidigital number, since it uses as much as digits as its factorization.

102401024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122 (or 9104 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 102401024 is about 10119.3391088549. The cubic root of 102401024 is about 467.8443975850.

Adding to 102401024 its reverse (420104201), we get a palindrome (522505225).

The spelling of 102401024 in words is "one hundred two million, four hundred one thousand, twenty-four".