100802241 has 12 divisors (see below), whose sum is σ = 145714660. Its totient is φ = 67150080.

The previous prime is 100802227. The next prime is 100802249. The reversal of 100802241 is 142208001.

It can be written as a sum of positive squares in 2 ways, for example, as 91011600 + 9790641 = 9540^2 + 3129^2 .

It is not a de Polignac number, because 100802241 - 2¹⁴ = 100785857 is a prime.

It is a super-2 number, since 2×100802241² = 20322183581244162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100802249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11001 + ... + 17961.

Almost surely, 2^100802241 is an apocalyptic number.

It is an amenable number.

100802241 is a deficient number, since it is larger than the sum of its proper divisors (44912419).

100802241 is a wasteful number, since it uses less digits than its factorization.

100802241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8576 (or 8573 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 100802241 is about 10040.0319222600. The cubic root of 100802241 is about 465.3968031617.

It can be divided in two parts, 10080 and 2241, that added together give a palindrome (12321).

The spelling of 100802241 in words is "one hundred million, eight hundred two thousand, two hundred forty-one".