102747424 has 48 divisors (see below), whose sum is σ = 221470200. Its totient is φ = 46632960.

The previous prime is 102747413. The next prime is 102747431. The reversal of 102747424 is 424747201.

It can be written as a sum of positive squares in 4 ways, for example, as 27751824 + 74995600 = 5268^2 + 8660^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23352 + ... + 27400.

Almost surely, 2^102747424 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 102747424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110735100).

102747424 is an abundant number, since it is smaller than the sum of its proper divisors (118722776).

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

102747424 is a wasteful number, since it uses less digits than its factorization.

102747424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 31.

The square root of 102747424 is about 10136.4404008508. The cubic root of 102747424 is about 468.3713418690.

The spelling of 102747424 in words is "one hundred two million, seven hundred forty-seven thousand, four hundred twenty-four".