105609456 has 30 divisors (see below), whose sum is σ = 295560200. Its totient is φ = 35203104.

The previous prime is 105609437. The next prime is 105609473. The reversal of 105609456 is 654906501.

105609456 is a `hidden beast` number, since 1 + 0 + 5 + 609 + 45 + 6 = 666.

It is a super-2 number, since 2×105609456² = 22306714393231872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105609456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 366556 + ... + 366843.

Almost surely, 2^105609456 is an apocalyptic number.

105609456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105609456 is an abundant number, since it is smaller than the sum of its proper divisors (189950744).

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

105609456 is a wasteful number, since it uses less digits than its factorization.

105609456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733413 (or 733404 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105609456 is about 10276.6461455088. The cubic root of 105609456 is about 472.6804081388.

The spelling of 105609456 in words is "one hundred five million, six hundred nine thousand, four hundred fifty-six".