102844032 has 64 divisors (see below), whose sum is σ = 274632960. Its totient is φ = 34099200.

The previous prime is 102843991. The next prime is 102844051. The reversal of 102844032 is 230448201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102843993 and 102844011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85032 + ... + 86232.

It is an arithmetic number, because the mean of its divisors is an integer number (4291140).

Almost surely, 2^102844032 is an apocalyptic number.

102844032 is a gapful number since it is divisible by the number (12) 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 102844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137316480).

102844032 is an abundant number, since it is smaller than the sum of its proper divisors (171788928).

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

102844032 is a wasteful number, since it uses less digits than its factorization.

102844032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 102844032 is about 10141.2046621691. The cubic root of 102844032 is about 468.5180908665.

The spelling of 102844032 in words is "one hundred two million, eight hundred forty-four thousand, thirty-two".