102381216 has 96 divisors (see below), whose sum is σ = 309754368. Its totient is φ = 29003520.

The previous prime is 102381203. The next prime is 102381217. The reversal of 102381216 is 612183201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102381217) 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 15 ways as a sum of consecutive naturals, for example, 87451 + ... + 88613.

It is an arithmetic number, because the mean of its divisors is an integer number (3226608).

Almost surely, 2^102381216 is an apocalyptic number.

102381216 is a gapful number since it is divisible by the number (16) 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 102381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154877184).

102381216 is an abundant number, since it is smaller than the sum of its proper divisors (207373152).

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

102381216 is a wasteful number, since it uses less digits than its factorization.

102381216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 102381216 is about 10118.3603414783. The cubic root of 102381216 is about 467.8142297245.

The spelling of 102381216 in words is "one hundred two million, three hundred eighty-one thousand, two hundred sixteen".