105823307520 has 1152 divisors, whose sum is σ = 446731407360. Its totient is φ = 23224320000.

The previous prime is 105823307461. The next prime is 105823307561. The reversal of 105823307520 is 25703328501.

It is a happy number.

105823307520 is a `hidden beast` number, since 1 + 0 + 582 + 3 + 3 + 0 + 75 + 2 + 0 = 666.

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

It is a super-2 number, since 2×105823307520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1047755470 + ... + 1047755570.

It is an arithmetic number, because the mean of its divisors is an integer number (387787680).

Almost surely, 2^105823307520 is an apocalyptic number.

105823307520 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 105823307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223365703680).

105823307520 is an abundant number, since it is smaller than the sum of its proper divisors (340908099840).

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

105823307520 is a wasteful number, since it uses less digits than its factorization.

105823307520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 105823307520 in words is "one hundred five billion, eight hundred twenty-three million, three hundred seven thousand, five hundred twenty".