102793344 has 128 divisors (see below), whose sum is σ = 292862400. Its totient is φ = 31850496.

The previous prime is 102793337. The next prime is 102793367. The reversal of 102793344 is 443397201.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532512 + ... + 532704.

Almost surely, 2^102793344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146431200).

102793344 is an abundant number, since it is smaller than the sum of its proper divisors (190069056).

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

102793344 is a wasteful number, since it uses less digits than its factorization.

102793344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 102793344 is about 10138.7052427812. The cubic root of 102793344 is about 468.4411065012.

The spelling of 102793344 in words is "one hundred two million, seven hundred ninety-three thousand, three hundred forty-four".