107287950 has 144 divisors (see below), whose sum is σ = 337906944. Its totient is φ = 22276800.

The previous prime is 107287933. The next prime is 107287997. The reversal of 107287950 is 59782701.

It is a junction number, because it is equal to n+sod(n) for n = 107287899 and 107287908.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 80187 + ... + 81513.

It is an arithmetic number, because the mean of its divisors is an integer number (2346576).

Almost surely, 2^107287950 is an apocalyptic number.

107287950 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 107287950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168953472).

107287950 is an abundant number, since it is smaller than the sum of its proper divisors (230618994).

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

107287950 is a wasteful number, since it uses less digits than its factorization.

107287950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 107287950 is about 10357.9896698153. The cubic root of 107287950 is about 475.1714247376.

The spelling of 107287950 in words is "one hundred seven million, two hundred eighty-seven thousand, nine hundred fifty".