102843936 has 108 divisors (see below), whose sum is σ = 316839978. Its totient is φ = 31629312.

The previous prime is 102843919. The next prime is 102843953. The reversal of 102843936 is 639348201.

It is an interprime number because it is at equal distance from previous prime (102843919) and next prime (102843953).

It can be written as a sum of positive squares in 3 ways, for example, as 16353936 + 86490000 = 4044^2 + 9300^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102843936.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47616 + ... + 49728.

Almost surely, 2^102843936 is an apocalyptic number.

102843936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102843936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158419989).

102843936 is an abundant number, since it is smaller than the sum of its proper divisors (213996042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102843936 is a wasteful number, since it uses less digits than its factorization.

102843936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 102843936 is about 10141.1999290025. The cubic root of 102843936 is about 468.5179450867.

The spelling of 102843936 in words is "one hundred two million, eight hundred forty-three thousand, nine hundred thirty-six".