105987023808 has 112 divisors (see below), whose sum is σ = 281602427904. Its totient is φ = 35180907520.

The previous prime is 105987023749. The next prime is 105987023819. The reversal of 105987023808 is 808320789501.

105987023808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105987023808² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65952541 + ... + 65954147.

It is an arithmetic number, because the mean of its divisors is an integer number (2514307392).

Almost surely, 2^105987023808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105987023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140801213952).

105987023808 is an abundant number, since it is smaller than the sum of its proper divisors (175615404096).

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

105987023808 is a wasteful number, since it uses less digits than its factorization.

105987023808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 105987023808 in words is "one hundred five billion, nine hundred eighty-seven million, twenty-three thousand, eight hundred eight".