100102871 has 16 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 88181280.

The previous prime is 100102841. The next prime is 100102901. The reversal of 100102871 is 178201001.

It is an interprime number because it is at equal distance from previous prime (100102841) and next prime (100102901).

It is not a de Polignac number, because 100102871 - 2¹⁴ = 100086487 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170240 + ... + 170826.

It is an arithmetic number, because the mean of its divisors is an integer number (7038360).

Almost surely, 2^100102871 is an apocalyptic number.

100102871 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100102871 is a deficient number, since it is larger than the sum of its proper divisors (12510889).

100102871 is a wasteful number, since it uses less digits than its factorization.

100102871 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054.

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 100102871 is about 10005.1422278746. The cubic root of 100102871 is about 464.3179904437.

Adding to 100102871 its reverse (178201001), we get a palindrome (278303872).

The spelling of 100102871 in words is "one hundred million, one hundred two thousand, eight hundred seventy-one".