105855815520 has 672 divisors, whose sum is σ = 461529375552. Its totient is φ = 22332174336.

The previous prime is 105855815453. The next prime is 105855815551. The reversal of 105855815520 is 25518558501.

105855815520 is a `hidden beast` number, since 1 + 0 + 585 + 5 + 8 + 15 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×105855815520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10609254 + ... + 10619226.

It is an arithmetic number, because the mean of its divisors is an integer number (686799666).

Almost surely, 2^105855815520 is an apocalyptic number.

105855815520 is a gapful number since it is divisible by the number (10) 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 105855815520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230764687776).

105855815520 is an abundant number, since it is smaller than the sum of its proper divisors (355673560032).

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

105855815520 is an equidigital number, since it uses as much as digits as its factorization.

105855815520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10026 (or 10003 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 45.

The spelling of 105855815520 in words is "one hundred five billion, eight hundred fifty-five million, eight hundred fifteen thousand, five hundred twenty".