106284476169 has 27 divisors (see below), whose sum is σ = 154475837607. Its totient is φ = 70418808000.

The previous prime is 106284476093. The next prime is 106284476171. The reversal of 106284476169 is 961674482601.

The square root of 106284476169 is 326013.

It is a perfect power (a square), and thus also a powerful number.

106284476169 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 8 + 4 + 476 + 169 = 666.

It can be written as a sum of positive squares in only one way, i.e., 105226925769 + 1057550400 = 324387^2 + 32520^2 .

It is not a de Polignac number, because 106284476169 - 2²¹ = 106282379017 is a prime.

It is a super-2 number, since 2×106284476169² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106284476269) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 265048369 + ... + 265048769.

Almost surely, 2^106284476169 is an apocalyptic number.

106284476169 is the 326013-rd square number.

106284476169 is the 163007-th centered octagonal number.

It is an amenable number.

106284476169 is a deficient number, since it is larger than the sum of its proper divisors (48191361438).

106284476169 is an frugal number, since it uses more digits than its factorization.

106284476169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 106284476169 in words is "one hundred six billion, two hundred eighty-four million, four hundred seventy-six thousand, one hundred sixty-nine".