107017317200 has 30 divisors (see below), whose sum is σ = 257109105534. Its totient is φ = 42806926720.

The previous prime is 107017317107. The next prime is 107017317203. The reversal of 107017317200 is 2713710701.

It can be written as a sum of positive squares in 3 ways, for example, as 462078016 + 106555239184 = 21496^2 + 326428^2 .

It is a super-4 number, since 4×107017317200⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107017317203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133771247 + ... + 133772046.

Almost surely, 2^107017317200 is an apocalyptic number.

107017317200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107017317200 is an abundant number, since it is smaller than the sum of its proper divisors (150091788334).

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

107017317200 is a wasteful number, since it uses less digits than its factorization.

107017317200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267543311 (or 267543300 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 29.

The spelling of 107017317200 in words is "one hundred seven billion, seventeen million, three hundred seventeen thousand, two hundred".