105993408 has 42 divisors (see below), whose sum is σ = 280818844. Its totient is φ = 35283584.

The previous prime is 105993403. The next prime is 105993427. The reversal of 105993408 is 804399501.

It is a super-2 number, since 2×105993408² = 22469205078908928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105993401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142285 + ... + 143027.

Almost surely, 2^105993408 is an apocalyptic number.

It is an amenable number.

105993408 is an abundant number, since it is smaller than the sum of its proper divisors (174825436).

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

105993408 is an frugal number, since it uses more digits than its factorization.

105993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 105993408 is about 10295.3100001894. The cubic root of 105993408 is about 473.2525383928.

The spelling of 105993408 in words is "one hundred five million, nine hundred ninety-three thousand, four hundred eight".