100241505 has 108 divisors (see below), whose sum is σ = 219676860. Its totient is φ = 42142464.

The previous prime is 100241489. The next prime is 100241543. The reversal of 100241505 is 505142001.

It can be written as a sum of positive squares in 6 ways, for example, as 44036496 + 56205009 = 6636^2 + 7497^2 .

It is not a de Polignac number, because 100241505 - 2⁴ = 100241489 is a prime.

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 107 ways as a sum of consecutive naturals, for example, 372511 + ... + 372779.

It is an arithmetic number, because the mean of its divisors is an integer number (2034045).

Almost surely, 2^100241505 is an apocalyptic number.

100241505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100241505 is an abundant number, since it is smaller than the sum of its proper divisors (119435355).

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

100241505 is a wasteful number, since it uses less digits than its factorization.

100241505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 100241505 is about 10012.0679682072. The cubic root of 100241505 is about 464.5322386023.

Adding to 100241505 its reverse (505142001), we get a palindrome (605383506).

The spelling of 100241505 in words is "one hundred million, two hundred forty-one thousand, five hundred five".