105952812 has 96 divisors (see below), whose sum is σ = 297464832. Its totient is φ = 28697856.

The previous prime is 105952811. The next prime is 105952829. The reversal of 105952812 is 218259501.

It is a super-2 number, since 2×105952812² = 22451996741414688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105952811) 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, 334078 + ... + 334394.

It is an arithmetic number, because the mean of its divisors is an integer number (3098592).

Almost surely, 2^105952812 is an apocalyptic number.

105952812 is a gapful number since it is divisible by the number (12) 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 105952812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148732416).

105952812 is an abundant number, since it is smaller than the sum of its proper divisors (191512020).

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

105952812 is a wasteful number, since it uses less digits than its factorization.

105952812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 105952812 is about 10293.3382340230. The cubic root of 105952812 is about 473.1921113225.

The spelling of 105952812 in words is "one hundred five million, nine hundred fifty-two thousand, eight hundred twelve".