105623010528 has 192 divisors, whose sum is σ = 327659028480. Its totient is φ = 29153779200.

The previous prime is 105623010527. The next prime is 105623010601. The reversal of 105623010528 is 825010326501.

It is a super-2 number, since 2×105623010528² (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 (105623010527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12890913 + ... + 12899103.

It is an arithmetic number, because the mean of its divisors is an integer number (1706557440).

Almost surely, 2^105623010528 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 105623010528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163829514240).

105623010528 is an abundant number, since it is smaller than the sum of its proper divisors (222036017952).

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

105623010528 is a wasteful number, since it uses less digits than its factorization.

105623010528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 105623010528 in words is "one hundred five billion, six hundred twenty-three million, ten thousand, five hundred twenty-eight".