8400105 has 40 divisors (see below), whose sum is σ = 17214912. Its totient is φ = 3838752.

The previous prime is 8400097. The next prime is 8400131. The reversal of 8400105 is 5010048.

It is not a de Polignac number, because 8400105 - 2³ = 8400097 is a prime.

It is a super-2 number, since 2×8400105² = 141123528022050, which contains 22 as substring.

8400105 is a lucky number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1354 + ... + 4316.

Almost surely, 2^8400105 is an apocalyptic number.

It is an amenable number.

8400105 is an abundant number, since it is smaller than the sum of its proper divisors (8814807).

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

8400105 is a wasteful number, since it uses less digits than its factorization.

8400105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8400105 is about 2898.2934634022. The cubic root of 8400105 is about 203.2801183564.

The spelling of 8400105 in words is "eight million, four hundred thousand, one hundred five".