105213856 has 72 divisors (see below), whose sum is σ = 235785060. Its totient is φ = 46126080.

The previous prime is 105213847. The next prime is 105213877. The reversal of 105213856 is 658312501.

It can be written as a sum of positive squares in 2 ways, for example, as 98010000 + 7203856 = 9900^2 + 2684^2 .

It is a super-2 number, since 2×105213856² = 22139910988777472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111820 + ... + 112756.

Almost surely, 2^105213856 is an apocalyptic number.

105213856 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 105213856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117892530).

105213856 is an abundant number, since it is smaller than the sum of its proper divisors (130571204).

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

105213856 is a wasteful number, since it uses less digits than its factorization.

105213856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 105213856 is about 10257.3805623073. The cubic root of 105213856 is about 472.0894688198.

The spelling of 105213856 in words is "one hundred five million, two hundred thirteen thousand, eight hundred fifty-six".