106055505 has 24 divisors (see below), whose sum is σ = 188800872. Its totient is φ = 55033344.

The previous prime is 106055489. The next prime is 106055519. The reversal of 106055505 is 505550601.

106055505 is a `hidden beast` number, since 1 + 0 + 605 + 5 + 50 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7033104 + 99022401 = 2652^2 + 9951^2 .

It is not a de Polignac number, because 106055505 - 2⁴ = 106055489 is a prime.

It is a super-2 number, since 2×106055505² = 22495540281610050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30184 + ... + 33513.

It is an arithmetic number, because the mean of its divisors is an integer number (7866703).

Almost surely, 2^106055505 is an apocalyptic number.

106055505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106055505 is a deficient number, since it is larger than the sum of its proper divisors (82745367).

106055505 is a wasteful number, since it uses less digits than its factorization.

106055505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63745 (or 63742 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 106055505 is about 10298.3253492983. The cubic root of 106055505 is about 473.3449398177.

It can be divided in two parts, 10605 and 5505, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 106055505 in words is "one hundred six million, fifty-five thousand, five hundred five".