107408160 has 288 divisors, whose sum is σ = 401345280. Its totient is φ = 26813952.

The previous prime is 107408153. The next prime is 107408201. The reversal of 107408160 is 61804701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 2285257 + ... + 2285303.

It is an arithmetic number, because the mean of its divisors is an integer number (1393560).

Almost surely, 2^107408160 is an apocalyptic number.

107408160 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 107408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200672640).

107408160 is an abundant number, since it is smaller than the sum of its proper divisors (293937120).

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

107408160 is a wasteful number, since it uses less digits than its factorization.

107408160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107408160 is about 10363.7908122463. The cubic root of 107408160 is about 475.3488259490.

The spelling of 107408160 in words is "one hundred seven million, four hundred eight thousand, one hundred sixty".