103265280 has 264 divisors, whose sum is σ = 375534432. Its totient is φ = 27205632.

The previous prime is 103265269. The next prime is 103265287. The reversal of 103265280 is 82562301.

103265280 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 652 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103265287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244119 + ... + 1244201.

Almost surely, 2^103265280 is an apocalyptic number.

103265280 is a gapful number since it is divisible by the number (10) 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 103265280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187767216).

103265280 is an abundant number, since it is smaller than the sum of its proper divisors (272269152).

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

103265280 is an frugal number, since it uses more digits than its factorization.

103265280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 103265280 is about 10161.9525682814. The cubic root of 103265280 is about 469.1569010850.

It can be divided in two parts, 10 and 3265280, that added together give a triangular number (3265290 = T₂₅₅₅).

The spelling of 103265280 in words is "one hundred three million, two hundred sixty-five thousand, two hundred eighty".