105341632 has 84 divisors (see below), whose sum is σ = 234582208. Its totient is φ = 46886400.

The previous prime is 105341623. The next prime is 105341641. The reversal of 105341632 is 236143501.

It is an interprime number because it is at equal distance from previous prime (105341623) and next prime (105341641).

It is a super-2 number, since 2×105341632² = 22193718864846848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105341597 and 105341606.

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 11 ways as a sum of consecutive naturals, for example, 472273 + ... + 472495.

Almost surely, 2^105341632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105341632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117291104).

105341632 is an abundant number, since it is smaller than the sum of its proper divisors (129240576).

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

105341632 is a wasteful number, since it uses less digits than its factorization.

105341632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 105341632 is about 10263.6071631761. The cubic root of 105341632 is about 472.2804997470.

The spelling of 105341632 in words is "one hundred five million, three hundred forty-one thousand, six hundred thirty-two".