107660160 has 96 divisors (see below), whose sum is σ = 371783880. Its totient is φ = 28707840.

The previous prime is 107660159. The next prime is 107660183. The reversal of 107660160 is 61066701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3586 + ... + 15105.

Almost surely, 2^107660160 is an apocalyptic number.

107660160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185891940).

107660160 is an abundant number, since it is smaller than the sum of its proper divisors (264123720).

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

107660160 is a wasteful number, since it uses less digits than its factorization.

107660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18716 (or 18701 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107660160 is about 10375.9414030728. The cubic root of 107660160 is about 475.7202885526.

The spelling of 107660160 in words is "one hundred seven million, six hundred sixty thousand, one hundred sixty".