106053664 has 48 divisors (see below), whose sum is σ = 213161760. Its totient is φ = 51932160.

The previous prime is 106053643. The next prime is 106053677. The reversal of 106053664 is 466350601.

It is a super-2 number, since 2×106053664² = 22494759295649792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 502519 + ... + 502729.

It is an arithmetic number, because the mean of its divisors is an integer number (4440870).

Almost surely, 2^106053664 is an apocalyptic number.

It is an amenable number.

106053664 is an abundant number, since it is smaller than the sum of its proper divisors (107108096).

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

106053664 is a wasteful number, since it uses less digits than its factorization.

106053664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 106053664 is about 10298.2359654457. The cubic root of 106053664 is about 473.3422008963.

The spelling of 106053664 in words is "one hundred six million, fifty-three thousand, six hundred sixty-four".