105191856 has 240 divisors, whose sum is σ = 376047360. Its totient is φ = 26657280.

The previous prime is 105191839. The next prime is 105191861. The reversal of 105191856 is 658191501.

It is a super-2 number, since 2×105191856² = 22130653137449472, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 105191856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587575 + ... + 587753.

It is an arithmetic number, because the mean of its divisors is an integer number (1566864).

Almost surely, 2^105191856 is an apocalyptic number.

105191856 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 105191856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

105191856 is an abundant number, since it is smaller than the sum of its proper divisors (270855504).

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

105191856 is a wasteful number, since it uses less digits than its factorization.

105191856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 105191856 is about 10256.3081076965. The cubic root of 105191856 is about 472.0565622152.

The spelling of 105191856 in words is "one hundred five million, one hundred ninety-one thousand, eight hundred fifty-six".