106636405 has 16 divisors (see below), whose sum is σ = 132611184. Its totient is φ = 82252800.

The previous prime is 106636403. The next prime is 106636421. The reversal of 106636405 is 504636601.

It can be written as a sum of positive squares in 8 ways, for example, as 29354724 + 77281681 = 5418^2 + 8791^2 .

It is not a de Polignac number, because 106636405 - 2¹ = 106636403 is a prime.

It is a super-2 number, since 2×106636405² = 22742645742648050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106636403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18355 + ... + 23455.

It is an arithmetic number, because the mean of its divisors is an integer number (8288199).

Almost surely, 2^106636405 is an apocalyptic number.

It is an amenable number.

106636405 is a deficient number, since it is larger than the sum of its proper divisors (25974779).

106636405 is a wasteful number, since it uses less digits than its factorization.

106636405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256.

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 106636405 is about 10326.4904493250. The cubic root of 106636405 is about 474.2075873903.

The spelling of 106636405 in words is "one hundred six million, six hundred thirty-six thousand, four hundred five".