105989216256 has 1152 divisors, whose sum is σ = 412702617600. Its totient is φ = 26276659200.

The previous prime is 105989216197. The next prime is 105989216303. The reversal of 105989216256 is 652612989501.

105989216256 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 8 + 9 + 2 + 1 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×105989216256² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1451907036 + ... + 1451907108.

It is an arithmetic number, because the mean of its divisors is an integer number (358248800).

Almost surely, 2^105989216256 is an apocalyptic number.

105989216256 is a gapful number since it is divisible by the number (16) 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 105989216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206351308800).

105989216256 is an abundant number, since it is smaller than the sum of its proper divisors (306713401344).

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

105989216256 is a wasteful number, since it uses less digits than its factorization.

105989216256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 105989216256 in words is "one hundred five billion, nine hundred eighty-nine million, two hundred sixteen thousand, two hundred fifty-six".