107393299200 has 1080 divisors, whose sum is σ = 445761938160. Its totient is φ = 25281331200.

The previous prime is 107393299141. The next prime is 107393299207. The reversal of 107393299200 is 2992393701.

It is a happy number.

107393299200 is a `hidden beast` number, since 1 + 0 + 73 + 93 + 299 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (107393299207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210988546 + ... + 210989054.

Almost surely, 2^107393299200 is an apocalyptic number.

107393299200 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 107393299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222880969080).

107393299200 is an abundant number, since it is smaller than the sum of its proper divisors (338368638960).

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

107393299200 is a wasteful number, since it uses less digits than its factorization.

107393299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 107393299200 in words is "one hundred seven billion, three hundred ninety-three million, two hundred ninety-nine thousand, two hundred".