106661511 has 48 divisors (see below), whose sum is σ = 177166080. Its totient is φ = 61205760.

The previous prime is 106661509. The next prime is 106661549. The reversal of 106661511 is 115166601.

It is not a de Polignac number, because 106661511 - 2¹ = 106661509 is a prime.

It is a super-2 number, since 2×106661511² = 22753355857606242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106661551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316335 + ... + 316671.

It is an arithmetic number, because the mean of its divisors is an integer number (3690960).

Almost surely, 2^106661511 is an apocalyptic number.

106661511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106661511 is a deficient number, since it is larger than the sum of its proper divisors (70504569).

106661511 is a wasteful number, since it uses less digits than its factorization.

106661511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 513 counting only the distinct ones).

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

The square root of 106661511 is about 10327.7059892311. The cubic root of 106661511 is about 474.2447995771.

The spelling of 106661511 in words is "one hundred six million, six hundred sixty-one thousand, five hundred eleven".