105218952 has 32 divisors (see below), whose sum is σ = 263400000. Its totient is φ = 35025984.

The previous prime is 105218921. The next prime is 105218959. The reversal of 105218952 is 259812501.

It is a super-2 number, since 2×105218952² = 22142055719956608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105218959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18549 + ... + 23547.

It is an arithmetic number, because the mean of its divisors is an integer number (8231250).

Almost surely, 2^105218952 is an apocalyptic number.

105218952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105218952 is an abundant number, since it is smaller than the sum of its proper divisors (158181048).

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

105218952 is a wasteful number, since it uses less digits than its factorization.

105218952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5885 (or 5881 counting only the distinct ones).

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

The square root of 105218952 is about 10257.6289657991. The cubic root of 105218952 is about 472.0970905317.

The spelling of 105218952 in words is "one hundred five million, two hundred eighteen thousand, nine hundred fifty-two".