107520000 has 280 divisors, whose sum is σ = 409443936. Its totient is φ = 24576000.

The previous prime is 107519977. The next prime is 107520013. The reversal of 107520000 is 25701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15359997 + ... + 15360003.

Almost surely, 2^107520000 is an apocalyptic number.

107520000 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 107520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204721968).

107520000 is an abundant number, since it is smaller than the sum of its proper divisors (301923936).

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

107520000 is an frugal number, since it uses more digits than its factorization.

107520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 107520000 is about 10369.1851174526. The cubic root of 107520000 is about 475.5137562211.

Adding to 107520000 its reverse (25701), we get a palindrome (107545701).

The spelling of 107520000 in words is "one hundred seven million, five hundred twenty thousand".