107110080 has 672 divisors, whose sum is σ = 500359680. Its totient is φ = 21288960.

The previous prime is 107110067. The next prime is 107110093. The reversal of 107110080 is 80011701.

It is an interprime number because it is at equal distance from previous prime (107110067) and next prime (107110093).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×107110080² = 22945138475212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4656949 + ... + 4656971.

Almost surely, 2^107110080 is an apocalyptic number.

107110080 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 107110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250179840).

107110080 is an abundant number, since it is smaller than the sum of its proper divisors (393249600).

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

107110080 is a wasteful number, since it uses less digits than its factorization.

107110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 107110080 is about 10349.3999826077. The cubic root of 107110080 is about 474.9086878955.

Adding to 107110080 its reverse (80011701), we get a palindrome (187121781).

The spelling of 107110080 in words is "one hundred seven million, one hundred ten thousand, eighty".