107112180 has 96 divisors (see below), whose sum is σ = 344897280. Its totient is φ = 24330240.

The previous prime is 107112179. The next prime is 107112191. The reversal of 107112180 is 81211701.

It is a super-2 number, since 2×107112180² = 22946038208704800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75316 + ... + 76724.

It is an arithmetic number, because the mean of its divisors is an integer number (3592680).

Almost surely, 2^107112180 is an apocalyptic number.

107112180 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 107112180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172448640).

107112180 is an abundant number, since it is smaller than the sum of its proper divisors (237785100).

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

107112180 is a wasteful number, since it uses less digits than its factorization.

107112180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

The square root of 107112180 is about 10349.5014372674. The cubic root of 107112180 is about 474.9117915614.

Adding to 107112180 its reverse (81211701), we get a palindrome (188323881).

The spelling of 107112180 in words is "one hundred seven million, one hundred twelve thousand, one hundred eighty".