105855391488 has 864 divisors, whose sum is σ = 377418811392. Its totient is φ = 26011238400.

The previous prime is 105855391487. The next prime is 105855391489. The reversal of 105855391488 is 884193558501.

It is an interprime number because it is at equal distance from previous prime (105855391487) and next prime (105855391489).

It is a super-2 number, since 2×105855391488² (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 (105855391487) 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, 936773320 + ... + 936773432.

It is an arithmetic number, because the mean of its divisors is an integer number (436827328).

Almost surely, 2^105855391488 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 105855391488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188709405696).

105855391488 is an abundant number, since it is smaller than the sum of its proper divisors (271563419904).

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

105855391488 is a wasteful number, since it uses less digits than its factorization.

105855391488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 57.

The spelling of 105855391488 in words is "one hundred five billion, eight hundred fifty-five million, three hundred ninety-one thousand, four hundred eighty-eight".