102753280 has 176 divisors, whose sum is σ = 292409856. Its totient is φ = 33914880.

The previous prime is 102753247. The next prime is 102753283. The reversal of 102753280 is 82357201.

102753280 is a nontrivial binomial coefficient, being equal to C(14336, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (102753283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1684450 + ... + 1684510.

Almost surely, 2^102753280 is an apocalyptic number.

102753280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102753280 is the 14335-th triangular number and also the 7168-th hexagonal number.

102753280 is the 4779-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146204928).

102753280 is an abundant number, since it is smaller than the sum of its proper divisors (189656576).

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

102753280 is an equidigital number, since it uses as much as digits as its factorization.

102753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 102753280 is about 10136.7292555341. The cubic root of 102753280 is about 468.3802398389.

The spelling of 102753280 in words is "one hundred two million, seven hundred fifty-three thousand, two hundred eighty".