106506405 has 12 divisors (see below), whose sum is σ = 184611180. Its totient is φ = 56803392.

The previous prime is 106506401. The next prime is 106506437. The reversal of 106506405 is 504605601.

It is a happy number.

106506405 is a `hidden beast` number, since 1 + 0 + 650 + 6 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50211396 + 56295009 = 7086^2 + 7503^2 .

It is not a de Polignac number, because 106506405 - 2² = 106506401 is a prime.

It is a super-2 number, since 2×106506405² = 22687228612048050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106506401) 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, 1183360 + ... + 1183449.

It is an arithmetic number, because the mean of its divisors is an integer number (15384265).

Almost surely, 2^106506405 is an apocalyptic number.

106506405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106506405 is a deficient number, since it is larger than the sum of its proper divisors (78104775).

106506405 is a wasteful number, since it uses less digits than its factorization.

106506405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366820 (or 2366817 counting only the distinct ones).

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

The square root of 106506405 is about 10320.1940388735. The cubic root of 106506405 is about 474.0148075276.

The spelling of 106506405 in words is "one hundred six million, five hundred six thousand, four hundred five".