100005280 has 24 divisors (see below), whose sum is σ = 236262852. Its totient is φ = 40002048.

The previous prime is 100005263. The next prime is 100005281. The reversal of 100005280 is 82500001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99920016 + 85264 = 9996^2 + 292^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (100005281) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 312357 + ... + 312676.

Almost surely, 2^100005280 is an apocalyptic number.

100005280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100005280 is an abundant number, since it is smaller than the sum of its proper divisors (136257572).

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

100005280 is an equidigital number, since it uses as much as digits as its factorization.

100005280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625048 (or 625040 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 100005280 is about 10000.2639965153. The cubic root of 100005280 is about 464.1670524139.

Adding to 100005280 its reverse (82500001), we get a palindrome (182505281).

The spelling of 100005280 in words is "one hundred million, five thousand, two hundred eighty".