105897305088 has 132 divisors (see below), whose sum is σ = 319071425088. Its totient is φ = 33764290560.

The previous prime is 105897305071. The next prime is 105897305089. The reversal of 105897305088 is 880503798501.

105897305088 is a `hidden beast` number, since 1 + 0 + 589 + 7 + 3 + 0 + 50 + 8 + 8 = 666.

It is a super-2 number, since 2×105897305088² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105897305089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37828 + ... + 461763.

Almost surely, 2^105897305088 is an apocalyptic number.

105897305088 is a gapful number since it is divisible by the number (18) 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 105897305088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159535712544).

105897305088 is an abundant number, since it is smaller than the sum of its proper divisors (213174120000).

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

105897305088 is a wasteful number, since it uses less digits than its factorization.

105897305088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499640 (or 499619 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 105897305088 in words is "one hundred five billion, eight hundred ninety-seven million, three hundred five thousand, eighty-eight".