105623856 has 120 divisors (see below), whose sum is σ = 337165920. Its totient is φ = 30578688.

The previous prime is 105623813. The next prime is 105623897. The reversal of 105623856 is 658326501.

105623856 is a `hidden beast` number, since 10 + 562 + 3 + 85 + 6 = 666.

It is a super-2 number, since 2×105623856² = 22312797912617472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105623856.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30165 + ... + 33483.

It is an arithmetic number, because the mean of its divisors is an integer number (2809716).

Almost surely, 2^105623856 is an apocalyptic number.

105623856 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 105623856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168582960).

105623856 is an abundant number, since it is smaller than the sum of its proper divisors (231542064).

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

105623856 is a wasteful number, since it uses less digits than its factorization.

105623856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 105623856 is about 10277.3467393097. The cubic root of 105623856 is about 472.7018907118.

The spelling of 105623856 in words is "one hundred five million, six hundred twenty-three thousand, eight hundred fifty-six".