107282042100 has 108 divisors (see below), whose sum is σ = 338496980640. Its totient is φ = 28419048000.

The previous prime is 107282042089. The next prime is 107282042129. The reversal of 107282042100 is 1240282701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258810 + ... + 530609.

Almost surely, 2^107282042100 is an apocalyptic number.

107282042100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107282042100 is an abundant number, since it is smaller than the sum of its proper divisors (231214938540).

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

107282042100 is a wasteful number, since it uses less digits than its factorization.

107282042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789590 (or 789580 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 107282042100 in words is "one hundred seven billion, two hundred eighty-two million, forty-two thousand, one hundred".