100310441 has 32 divisors (see below), whose sum is σ = 129883392. Its totient is φ = 75202560.

The previous prime is 100310437. The next prime is 100310447. The reversal of 100310441 is 144013001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100310441 - 2² = 100310437 is a prime.

It is a super-2 number, since 2×100310441² = 20124369147228962, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100310447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390185 + ... + 390441.

It is an arithmetic number, because the mean of its divisors is an integer number (4058856).

Almost surely, 2^100310441 is an apocalyptic number.

100310441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100310441 is a deficient number, since it is larger than the sum of its proper divisors (29572951).

100310441 is a wasteful number, since it uses less digits than its factorization.

100310441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 100310441 is about 10015.5100219609. The cubic root of 100310441 is about 464.6387003468.

Adding to 100310441 its reverse (144013001), we get a palindrome (244323442).

The spelling of 100310441 in words is "one hundred million, three hundred ten thousand, four hundred forty-one".