107160527200 has 144 divisors (see below), whose sum is σ = 273852472320. Its totient is φ = 40896576000.

The previous prime is 107160527183. The next prime is 107160527203. The reversal of 107160527200 is 2725061701.

It is a super-2 number, since 2×107160527200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107160527203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1730371 + ... + 1791229.

It is an arithmetic number, because the mean of its divisors is an integer number (1901753280).

Almost surely, 2^107160527200 is an apocalyptic number.

107160527200 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 107160527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136926236160).

107160527200 is an abundant number, since it is smaller than the sum of its proper divisors (166691945120).

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

107160527200 is a wasteful number, since it uses less digits than its factorization.

107160527200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60981 (or 60968 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 31.

Adding to 107160527200 its reverse (2725061701), we get a palindrome (109885588901).

The spelling of 107160527200 in words is "one hundred seven billion, one hundred sixty million, five hundred twenty-seven thousand, two hundred".