105058408 has 32 divisors (see below), whose sum is σ = 242444160. Its totient is φ = 41561280.

The previous prime is 105058403. The next prime is 105058427. The reversal of 105058408 is 804850501.

It is a super-2 number, since 2×105058408² = 22074538182988928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105058408.

It is not an unprimeable number, because it can be changed into a prime (105058403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71428 + ... + 72883.

It is an arithmetic number, because the mean of its divisors is an integer number (7576380).

Almost surely, 2^105058408 is an apocalyptic number.

It is an amenable number.

105058408 is an abundant number, since it is smaller than the sum of its proper divisors (137385752).

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

105058408 is a wasteful number, since it uses less digits than its factorization.

105058408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144337 (or 144333 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 105058408 is about 10249.8003883003. The cubic root of 105058408 is about 471.8568583467.

The spelling of 105058408 in words is "one hundred five million, fifty-eight thousand, four hundred eight".