102930336 has 144 divisors (see below), whose sum is σ = 313709760. Its totient is φ = 31933440.

The previous prime is 102930319. The next prime is 102930371. The reversal of 102930336 is 633039201.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 271395 + ... + 271773.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 2^102930336 is an apocalyptic number.

102930336 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 102930336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

102930336 is an abundant number, since it is smaller than the sum of its proper divisors (210779424).

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

102930336 is a wasteful number, since it uses less digits than its factorization.

102930336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 102930336 is about 10145.4588856296. The cubic root of 102930336 is about 468.6491102336.

Adding to 102930336 its reverse (633039201), we get a palindrome (735969537).

The spelling of 102930336 in words is "one hundred two million, nine hundred thirty thousand, three hundred thirty-six".