102682944 has 224 divisors, whose sum is σ = 372099840. Its totient is φ = 27039744.

The previous prime is 102682933. The next prime is 102682967. The reversal of 102682944 is 449286201.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 102682899 and 102682908.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 156922 + ... + 157574.

It is an arithmetic number, because the mean of its divisors is an integer number (1661160).

Almost surely, 2^102682944 is an apocalyptic number.

102682944 is a gapful number since it is divisible by the number (14) 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 102682944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186049920).

102682944 is an abundant number, since it is smaller than the sum of its proper divisors (269416896).

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

102682944 is a wasteful number, since it uses less digits than its factorization.

102682944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 102682944 is about 10133.2592979752. The cubic root of 102682944 is about 468.2733445901.

The spelling of 102682944 in words is "one hundred two million, six hundred eighty-two thousand, nine hundred forty-four".