102106971 has 6 divisors (see below), whose sum is σ = 147487860. Its totient is φ = 68071308.

The previous prime is 102106951. The next prime is 102107011. The reversal of 102106971 is 179601201.

It is not a de Polignac number, because 102106971 - 2²⁶ = 34998107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102106951) 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 5 ways as a sum of consecutive naturals, for example, 5672601 + ... + 5672618.

It is an arithmetic number, because the mean of its divisors is an integer number (24581310).

Almost surely, 2^102106971 is an apocalyptic number.

102106971 is a deficient number, since it is larger than the sum of its proper divisors (45380889).

102106971 is a wasteful number, since it uses less digits than its factorization.

102106971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345225 (or 11345222 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 102106971 is about 10104.7994042435. The cubic root of 102106971 is about 467.3961503053.

The spelling of 102106971 in words is "one hundred two million, one hundred six thousand, nine hundred seventy-one".