106511560 has 16 divisors (see below), whose sum is σ = 239651100. Its totient is φ = 42604608.

The previous prime is 106511533. The next prime is 106511593. The reversal of 106511560 is 65115601.

It can be written as a sum of positive squares in 2 ways, for example, as 105555076 + 956484 = 10274^2 + 978^2 .

It is a super-2 number, since 2×106511560² = 22689424827267200, 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 3 ways as a sum of consecutive naturals, for example, 1331355 + ... + 1331434.

Almost surely, 2^106511560 is an apocalyptic number.

106511560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106511560 is an abundant number, since it is smaller than the sum of its proper divisors (133139540).

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

106511560 is a wasteful number, since it uses less digits than its factorization.

106511560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662800 (or 2662796 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 106511560 is about 10320.4437889075. The cubic root of 106511560 is about 474.0224549766.

The spelling of 106511560 in words is "one hundred six million, five hundred eleven thousand, five hundred sixty".