106286446827 has 72 divisors (see below), whose sum is σ = 183507262848. Its totient is φ = 58987906560.

The previous prime is 106286446817. The next prime is 106286446843. The reversal of 106286446827 is 728644682601.

It is a happy number.

106286446827 is a `hidden beast` number, since 1 + 0 + 628 + 6 + 4 + 4 + 6 + 8 + 2 + 7 = 666.

It is not a de Polignac number, because 106286446827 - 2⁴ = 106286446811 is a prime.

It is a super-2 number, since 2×106286446827² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106286446817) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 607398 + ... + 762564.

It is an arithmetic number, because the mean of its divisors is an integer number (2548711984).

Almost surely, 2^106286446827 is an apocalyptic number.

106286446827 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106286446827 is a deficient number, since it is larger than the sum of its proper divisors (77220816021).

106286446827 is a wasteful number, since it uses less digits than its factorization.

106286446827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155249 (or 155235 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 106286446827 in words is "one hundred six billion, two hundred eighty-six million, four hundred forty-six thousand, eight hundred twenty-seven".