107160000 has 280 divisors, whose sum is σ = 380878080. Its totient is φ = 26496000.

The previous prime is 107159957. The next prime is 107160007. The reversal of 107160000 is 61701.

It is a super-2 number, since 2×107160000² = 22966531200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107160007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2279977 + ... + 2280023.

Almost surely, 2^107160000 is an apocalyptic number.

107160000 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 107160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190439040).

107160000 is an abundant number, since it is smaller than the sum of its proper divisors (273718080).

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

107160000 is an equidigital number, since it uses as much as digits as its factorization.

107160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 107160000 is about 10351.8114356860. The cubic root of 107160000 is about 474.9824554923.

The spelling of 107160000 in words is "one hundred seven million, one hundred sixty thousand".