107982810 has 192 divisors, whose sum is σ = 329041440. Its totient is φ = 24330240.

The previous prime is 107982779. The next prime is 107982811. The reversal of 107982810 is 18289701.

It can be written as a sum of positive squares in 16 ways, for example, as 4004001 + 103978809 = 2001^2 + 10197^2 .

It is a super-2 number, since 2×107982810² = 23320574510992200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (107982811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1213246 + ... + 1213334.

Almost surely, 2^107982810 is an apocalyptic number.

107982810 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 107982810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164520720).

107982810 is an abundant number, since it is smaller than the sum of its proper divisors (221058630).

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

107982810 is a wasteful number, since it uses less digits than its factorization.

107982810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 107982810 is about 10391.4777582402. The cubic root of 107982810 is about 476.1950481164.

The spelling of 107982810 in words is "one hundred seven million, nine hundred eighty-two thousand, eight hundred ten".