102800340 has 240 divisors, whose sum is σ = 351267840. Its totient is φ = 25090560.

The previous prime is 102800329. The next prime is 102800359. The reversal of 102800340 is 43008201.

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 79 ways as a sum of consecutive naturals, for example, 1155016 + ... + 1155104.

It is an arithmetic number, because the mean of its divisors is an integer number (1463616).

Almost surely, 2^102800340 is an apocalyptic number.

102800340 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 102800340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

102800340 is an abundant number, since it is smaller than the sum of its proper divisors (248467500).

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

102800340 is a wasteful number, since it uses less digits than its factorization.

102800340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 153 counting only the distinct ones).

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

The square root of 102800340 is about 10139.0502513796. The cubic root of 102800340 is about 468.4517334527.

Adding to 102800340 its reverse (43008201), we get a palindrome (145808541).

The spelling of 102800340 in words is "one hundred two million, eight hundred thousand, three hundred forty".