105887654488512 has 672 divisors, whose sum is σ = 354850082556480. Its totient is φ = 30760545484800.

The previous prime is 105887654488487. The next prime is 105887654488519. The reversal of 105887654488512 is 215884456788501.

105887654488512 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 8 + 7 + 65 + 4 + 48 + 8 + 512 = 666.

It is a super-2 number, since 2×105887654488512² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105887654488519) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 885044248 + ... + 885163880.

It is an arithmetic number, because the mean of its divisors is an integer number (528050718090).

Almost surely, 2^{105887654488512} is an apocalyptic number.

105887654488512 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 105887654488512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177425041278240).

105887654488512 is an abundant number, since it is smaller than the sum of its proper divisors (248962428067968).

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

105887654488512 is a wasteful number, since it uses less digits than its factorization.

105887654488512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119770 (or 119723 counting only the distinct ones).

The product of its (nonzero) digits is 688128000, while the sum is 72.

The spelling of 105887654488512 in words is "one hundred five trillion, eight hundred eighty-seven billion, six hundred fifty-four million, four hundred eighty-eight thousand, five hundred twelve".