105804414 has 32 divisors (see below), whose sum is σ = 235499040. Its totient is φ = 35211456.

The previous prime is 105804409. The next prime is 105804449. The reversal of 105804414 is 414408501.

It is a happy number.

It is a super-2 number, since 2×105804414² = 22389148043766792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44914 + ... + 47210.

It is an arithmetic number, because the mean of its divisors is an integer number (7359345).

Almost surely, 2^105804414 is an apocalyptic number.

105804414 is an abundant number, since it is smaller than the sum of its proper divisors (129694626).

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

105804414 is a wasteful number, since it uses less digits than its factorization.

105804414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3155 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 105804414 is about 10286.1272595666. The cubic root of 105804414 is about 472.9710897470.

The spelling of 105804414 in words is "one hundred five million, eight hundred four thousand, four hundred fourteen".