102445824 has 144 divisors (see below), whose sum is σ = 304016384. Its totient is φ = 30412800.

The previous prime is 102445787. The next prime is 102445883. The reversal of 102445824 is 428544201.

It is a junction number, because it is equal to n+sod(n) for n = 102445791 and 102445800.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309339 + ... + 309669.

Almost surely, 2^102445824 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 102445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152008192).

102445824 is an abundant number, since it is smaller than the sum of its proper divisors (201570560).

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

102445824 is a wasteful number, since it uses less digits than its factorization.

102445824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 102445824 is about 10121.5524500938. The cubic root of 102445824 is about 467.9126142635.

The spelling of 102445824 in words is "one hundred two million, four hundred forty-five thousand, eight hundred twenty-four".