105630408 has 72 divisors (see below), whose sum is σ = 309817170. Its totient is φ = 32497920.

The previous prime is 105630407. The next prime is 105630419. The reversal of 105630408 is 804036501.

It can be written as a sum of positive squares in 3 ways, for example, as 71267364 + 34363044 = 8442^2 + 5862^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105630408² = 22315566188492928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105630407) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 7828 + ... + 16508.

Almost surely, 2^105630408 is an apocalyptic number.

105630408 is a gapful number since it is divisible by the number (18) 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 105630408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154908585).

105630408 is an abundant number, since it is smaller than the sum of its proper divisors (204186762).

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

105630408 is a wasteful number, since it uses less digits than its factorization.

105630408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105630408 is about 10277.6654936809. The cubic root of 105630408 is about 472.7116646362.

Adding to 105630408 its reverse (804036501), we get a palindrome (909666909).

The spelling of 105630408 in words is "one hundred five million, six hundred thirty thousand, four hundred eight".