106005776 has 10 divisors (see below), whose sum is σ = 205386222. Its totient is φ = 53002880.

The previous prime is 106005763. The next prime is 106005791. The reversal of 106005776 is 677500601.

It can be written as a sum of positive squares in only one way, i.e., 105596176 + 409600 = 10276^2 + 640^2 .

It is a super-2 number, since 2×106005776² = 22474449090724352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3312665 + ... + 3312696.

Almost surely, 2^106005776 is an apocalyptic number.

106005776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106005776 is a deficient number, since it is larger than the sum of its proper divisors (99380446).

106005776 is an equidigital number, since it uses as much as digits as its factorization.

106005776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625369 (or 6625363 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 106005776 is about 10295.9106445229. The cubic root of 106005776 is about 473.2709450713.

The spelling of 106005776 in words is "one hundred six million, five thousand, seven hundred seventy-six".