102760448 has 66 divisors (see below), whose sum is σ = 239075271. Its totient is φ = 44040192.

The previous prime is 102760387. The next prime is 102760453. The reversal of 102760448 is 844067201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 51380224 + 51380224 = 7168^2 + 7168^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7168.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14680061 + ... + 14680067.

Almost surely, 2^102760448 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 102760448

102760448 is an abundant number, since it is smaller than the sum of its proper divisors (136314823).

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

102760448 is an frugal number, since it uses more digits than its factorization.

102760448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 102760448 is about 10137.0828150903. The cubic root of 102760448 is about 468.3911308829.

Multiplying 102760448 by its sum of digits (32), we get a square (3288334336 = 57344²).

102760448 divided by its sum of digits (32) gives a square (3211264 = 1792²).

The spelling of 102760448 in words is "one hundred two million, seven hundred sixty thousand, four hundred forty-eight".