107337677 has 8 divisors (see below), whose sum is σ = 114311736. Its totient is φ = 100436992.

The previous prime is 107337653. The next prime is 107337679. The reversal of 107337677 is 776733701.

It can be written as a sum of positive squares in 4 ways, for example, as 89605156 + 17732521 = 9466^2 + 4211^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107337677 - 2⁸ = 107337421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107337679) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15308 + ... + 21189.

It is an arithmetic number, because the mean of its divisors is an integer number (14288967).

Almost surely, 2^107337677 is an apocalyptic number.

107337677 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

107337677 is a deficient number, since it is larger than the sum of its proper divisors (6974059).

107337677 is a wasteful number, since it uses less digits than its factorization.

107337677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36687.

The product of its (nonzero) digits is 129654, while the sum is 41.

The square root of 107337677 is about 10360.3898092688. The cubic root of 107337677 is about 475.2448259593.

The spelling of 107337677 in words is "one hundred seven million, three hundred thirty-seven thousand, six hundred seventy-seven".