105969408 has 72 divisors (see below), whose sum is σ = 291196416. Its totient is φ = 34176000.

The previous prime is 105969373. The next prime is 105969421. The reversal of 105969408 is 804969501.

It is a super-2 number, since 2×105969408² = 22459030863740928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105969408.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21583 + ... + 26033.

Almost surely, 2^105969408 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 105969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145598208).

105969408 is an abundant number, since it is smaller than the sum of its proper divisors (185227008).

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

105969408 is an equidigital number, since it uses as much as digits as its factorization.

105969408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 105969408 is about 10294.1443549233. The cubic root of 105969408 is about 473.2168163025.

The spelling of 105969408 in words is "one hundred five million, nine hundred sixty-nine thousand, four hundred eight".