101827827 has 32 divisors (see below), whose sum is σ = 155443200. Its totient is φ = 65844576.

The previous prime is 101827771. The next prime is 101827867. The reversal of 101827827 is 728728101.

It is a happy number.

It is not a de Polignac number, because 101827827 - 2⁶ = 101827763 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101827791 and 101827800.

It is not an unprimeable number, because it can be changed into a prime (101827867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265678 + ... + 266060.

It is an arithmetic number, because the mean of its divisors is an integer number (4857600).

Almost surely, 2^101827827 is an apocalyptic number.

101827827 is a deficient number, since it is larger than the sum of its proper divisors (53615373).

101827827 is a wasteful number, since it uses less digits than its factorization.

101827827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 101827827 is about 10090.9775046821. The cubic root of 101827827 is about 466.9698329964.

The spelling of 101827827 in words is "one hundred one million, eight hundred twenty-seven thousand, eight hundred twenty-seven".