105399090 has 32 divisors (see below), whose sum is σ = 281064960. Its totient is φ = 28106352.

The previous prime is 105399089. The next prime is 105399103. The reversal of 105399090 is 90993501.

It is a super-3 number, since 3×105399090³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 194914 + ... + 195453.

It is an arithmetic number, because the mean of its divisors is an integer number (8783280).

Almost surely, 2^105399090 is an apocalyptic number.

105399090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105399090 is an abundant number, since it is smaller than the sum of its proper divisors (175665870).

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

105399090 is a wasteful number, since it uses less digits than its factorization.

105399090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390383 (or 390377 counting only the distinct ones).

The product of its (nonzero) digits is 10935, while the sum is 36.

The square root of 105399090 is about 10266.4058949566. The cubic root of 105399090 is about 472.3663517195.

The spelling of 105399090 in words is "one hundred five million, three hundred ninety-nine thousand, ninety".