102846821 has 16 divisors (see below), whose sum is σ = 135768960. Its totient is φ = 75425280.

The previous prime is 102846817. The next prime is 102846833. The reversal of 102846821 is 128648201.

It is a happy number.

It is not a de Polignac number, because 102846821 - 2² = 102846817 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 (102846811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37976 + ... + 40593.

It is an arithmetic number, because the mean of its divisors is an integer number (8485560).

Almost surely, 2^102846821 is an apocalyptic number.

102846821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102846821 is a deficient number, since it is larger than the sum of its proper divisors (32922139).

102846821 is a wasteful number, since it uses less digits than its factorization.

102846821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78604.

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 102846821 is about 10141.3421695553. The cubic root of 102846821 is about 468.5223260342.

The spelling of 102846821 in words is "one hundred two million, eight hundred forty-six thousand, eight hundred twenty-one".