107881113600 has 1728 divisors, whose sum is σ = 465776438400. Its totient is φ = 24524881920.

The previous prime is 107881113589. The next prime is 107881113617. The reversal of 107881113600 is 6311188701.

It is a happy number.

107881113600 is a `hidden beast` number, since 107 + 88 + 111 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×107881113600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3720038386 + ... + 3720038414.

It is an arithmetic number, because the mean of its divisors is an integer number (269546550).

Almost surely, 2^107881113600 is an apocalyptic number.

107881113600 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 107881113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232888219200).

107881113600 is an abundant number, since it is smaller than the sum of its proper divisors (357895324800).

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

107881113600 is a wasteful number, since it uses less digits than its factorization.

107881113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 107881113600 in words is "one hundred seven billion, eight hundred eighty-one million, one hundred thirteen thousand, six hundred".