107987524992 has 192 divisors, whose sum is σ = 313698078720. Its totient is φ = 35655552000.

The previous prime is 107987524979. The next prime is 107987524999. The reversal of 107987524992 is 299425789701.

107987524992 is a `hidden beast` number, since 1 + 0 + 7 + 98 + 7 + 52 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×107987524992² (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 (107987524999) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59627767 + ... + 59629577.

It is an arithmetic number, because the mean of its divisors is an integer number (1633844160).

Almost surely, 2^107987524992 is an apocalyptic number.

107987524992 is a gapful number since it is divisible by the number (12) 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 107987524992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156849039360).

107987524992 is an abundant number, since it is smaller than the sum of its proper divisors (205710553728).

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

107987524992 is a wasteful number, since it uses less digits than its factorization.

107987524992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 107987524992 in words is "one hundred seven billion, nine hundred eighty-seven million, five hundred twenty-four thousand, nine hundred ninety-two".