106511049 has 24 divisors (see below), whose sum is σ = 158662920. Its totient is φ = 68802048.

The previous prime is 106511003. The next prime is 106511077. The reversal of 106511049 is 940115601.

106511049 is a `hidden beast` number, since 1 + 0 + 651 + 1 + 0 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6411024 + 100100025 = 2532^2 + 10005^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106511049 is a prime.

It is a super-2 number, since 2×106511049² = 22689207118160802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106511089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105057 + ... + 106065.

It is an arithmetic number, because the mean of its divisors is an integer number (6610955).

Almost surely, 2^106511049 is an apocalyptic number.

It is an amenable number.

106511049 is a deficient number, since it is larger than the sum of its proper divisors (52151871).

106511049 is a wasteful number, since it uses less digits than its factorization.

106511049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 106511049 is about 10320.4190321905. The cubic root of 106511049 is about 474.0216969185.

The spelling of 106511049 in words is "one hundred six million, five hundred eleven thousand, forty-nine".