107863865200 has 360 divisors, whose sum is σ = 328726855968. Its totient is φ = 33097144320.

The previous prime is 107863865173. The next prime is 107863865201. The reversal of 107863865200 is 2568368701.

It is a super-2 number, since 2×107863865200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107863865201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 381144259 + ... + 381144541.

Almost surely, 2^107863865200 is an apocalyptic number.

107863865200 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 107863865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164363427984).

107863865200 is an abundant number, since it is smaller than the sum of its proper divisors (220862990768).

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

107863865200 is a wasteful number, since it uses less digits than its factorization.

107863865200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 107863865200 in words is "one hundred seven billion, eight hundred sixty-three million, eight hundred sixty-five thousand, two hundred".