107768160 has 144 divisors (see below), whose sum is σ = 373581936. Its totient is φ = 28283904.

The previous prime is 107768159. The next prime is 107768201. The reversal of 107768160 is 61867701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×107768160² = 23227952619571200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95922 + ... + 97038.

It is an arithmetic number, because the mean of its divisors is an integer number (2594319).

Almost surely, 2^107768160 is an apocalyptic number.

107768160 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 107768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186790968).

107768160 is an abundant number, since it is smaller than the sum of its proper divisors (265813776).

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

107768160 is a wasteful number, since it uses less digits than its factorization.

107768160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 107768160 is about 10381.1444455802. The cubic root of 107768160 is about 475.8793093726.

The spelling of 107768160 in words is "one hundred seven million, seven hundred sixty-eight thousand, one hundred sixty".