102008340 has 144 divisors (see below), whose sum is σ = 372328320. Its totient is φ = 22083840.

The previous prime is 102008323. The next prime is 102008351. The reversal of 102008340 is 43800201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21810 + ... + 26070.

Almost surely, 2^102008340 is an apocalyptic number.

102008340 is a gapful number since it is divisible by the number (10) 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 102008340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186164160).

102008340 is an abundant number, since it is smaller than the sum of its proper divisors (270319980).

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

102008340 is a wasteful number, since it uses less digits than its factorization.

102008340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102008340 is about 10099.9178214479. The cubic root of 102008340 is about 467.2456068746.

Adding to 102008340 its reverse (43800201), we get a palindrome (145808541).

The spelling of 102008340 in words is "one hundred two million, eight thousand, three hundred forty".