106511905 has 8 divisors (see below), whose sum is σ = 128673000. Its totient is φ = 84637056.

The previous prime is 106511897. The next prime is 106511957. The reversal of 106511905 is 509115601.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 101949409 = 2136^2 + 10097^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106511905 - 2³ = 106511897 is a prime.

It is a super-2 number, since 2×106511905² = 22689571813458050, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70740 + ... + 72229.

It is an arithmetic number, because the mean of its divisors is an integer number (16084125).

Almost surely, 2^106511905 is an apocalyptic number.

It is an amenable number.

106511905 is a deficient number, since it is larger than the sum of its proper divisors (22161095).

106511905 is a wasteful number, since it uses less digits than its factorization.

106511905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143123.

The product of its (nonzero) digits is 1350, while the sum is 28.

The square root of 106511905 is about 10320.4605032915. The cubic root of 106511905 is about 474.0229667757.

It can be divided in two parts, 106511 and 905, that added together give a triangular number (107416 = T₄₆₃).

The spelling of 106511905 in words is "one hundred six million, five hundred eleven thousand, nine hundred five".