105831664 has 40 divisors (see below), whose sum is σ = 217807488. Its totient is φ = 49643520.

The previous prime is 105831631. The next prime is 105831679. The reversal of 105831664 is 466138501.

It is a happy number.

It is a super-2 number, since 2×105831664² = 22400682210017792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164784 + ... + 165424.

Almost surely, 2^105831664 is an apocalyptic number.

It is an amenable number.

105831664 is an abundant number, since it is smaller than the sum of its proper divisors (111975824).

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

105831664 is a wasteful number, since it uses less digits than its factorization.

105831664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 105831664 is about 10287.4517738845. The cubic root of 105831664 is about 473.0116909387.

It can be divided in two parts, 105 and 831664, that multiplied together give a triangular number (87324720 = T₁₃₂₁₅).

The spelling of 105831664 in words is "one hundred five million, eight hundred thirty-one thousand, six hundred sixty-four".