102368448 has 420 divisors, whose sum is σ = 392411712. Its totient is φ = 26127360.

The previous prime is 102368443. The next prime is 102368459. The reversal of 102368448 is 844863201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102368443) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3302193 + ... + 3302223.

Almost surely, 2^102368448 is an apocalyptic number.

102368448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196205856).

102368448 is an abundant number, since it is smaller than the sum of its proper divisors (290043264).

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

102368448 is a wasteful number, since it uses less digits than its factorization.

102368448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 102368448 is about 10117.7293895419. The cubic root of 102368448 is about 467.7947818198.

The spelling of 102368448 in words is "one hundred two million, three hundred sixty-eight thousand, four hundred forty-eight".