105406952 has 32 divisors (see below), whose sum is σ = 227665920. Its totient is φ = 44815680.

The previous prime is 105406901. The next prime is 105406957. The reversal of 105406952 is 259604501.

It is a happy number.

It is a super-2 number, since 2×105406952² = 22221251059860608, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (105406957) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 299 + ... + 14522.

It is an arithmetic number, because the mean of its divisors is an integer number (7114560).

Almost surely, 2^105406952 is an apocalyptic number.

It is an amenable number.

105406952 is an abundant number, since it is smaller than the sum of its proper divisors (122258968).

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

105406952 is a wasteful number, since it uses less digits than its factorization.

105406952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14961 (or 14957 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 105406952 is about 10266.7887871525. The cubic root of 105406952 is about 472.3780964506.

The spelling of 105406952 in words is "one hundred five million, four hundred six thousand, nine hundred fifty-two".