107682210 has 80 divisors (see below), whose sum is σ = 297453816. Its totient is φ = 27931392.

The previous prime is 107682209. The next prime is 107682259. The reversal of 107682210 is 12286701.

It can be written as a sum of positive squares in 4 ways, for example, as 96412761 + 11269449 = 9819^2 + 3357^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28174 + ... + 31766.

Almost surely, 2^107682210 is an apocalyptic number.

107682210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107682210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148726908).

107682210 is an abundant number, since it is smaller than the sum of its proper divisors (189771606).

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

107682210 is a wasteful number, since it uses less digits than its factorization.

107682210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107682210 is about 10377.0039028614. The cubic root of 107682210 is about 475.7527639404.

The spelling of 107682210 in words is "one hundred seven million, six hundred eighty-two thousand, two hundred ten".