106406505 has 12 divisors (see below), whose sum is σ = 184438020. Its totient is φ = 56750112.

The previous prime is 106406501. The next prime is 106406527. The reversal of 106406505 is 505604601.

It is a happy number.

106406505 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 0 + 650 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25190361 + 81216144 = 5019^2 + 9012^2 .

It is not a de Polignac number, because 106406505 - 2² = 106406501 is a prime.

It is a super-2 number, since 2×106406505² = 22644688612630050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106406501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1182250 + ... + 1182339.

It is an arithmetic number, because the mean of its divisors is an integer number (15369835).

Almost surely, 2^106406505 is an apocalyptic number.

106406505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106406505 is a deficient number, since it is larger than the sum of its proper divisors (78031515).

106406505 is a wasteful number, since it uses less digits than its factorization.

106406505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364600 (or 2364597 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 106406505 is about 10315.3528781133. The cubic root of 106406505 is about 473.8665569988.

The spelling of 106406505 in words is "one hundred six million, four hundred six thousand, five hundred five".