105209464 has 16 divisors (see below), whose sum is σ = 208872000. Its totient is φ = 49510272.

The previous prime is 105209459. The next prime is 105209471. The reversal of 105209464 is 464902501.

It is a super-2 number, since 2×105209464² = 22138062630334592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 386664 + ... + 386935.

It is an arithmetic number, because the mean of its divisors is an integer number (13054500).

Almost surely, 2^105209464 is an apocalyptic number.

It is an amenable number.

105209464 is a deficient number, since it is larger than the sum of its proper divisors (103662536).

105209464 is a wasteful number, since it uses less digits than its factorization.

105209464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773622 (or 773618 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 105209464 is about 10257.1664703270. The cubic root of 105209464 is about 472.0828998314.

The spelling of 105209464 in words is "one hundred five million, two hundred nine thousand, four hundred sixty-four".