100305831 has 12 divisors (see below), whose sum is σ = 142072232. Its totient is φ = 62936448.

The previous prime is 100305823. The next prime is 100305917. The reversal of 100305831 is 138503001.

It is a happy number.

It is not a de Polignac number, because 100305831 - 2³ = 100305823 is a prime.

It is a super-2 number, since 2×100305831² = 20122519465201122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100305798 and 100305807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100305811) 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 11 ways as a sum of consecutive naturals, for example, 56980 + ... + 58713.

Almost surely, 2^100305831 is an apocalyptic number.

100305831 is a deficient number, since it is larger than the sum of its proper divisors (41766401).

100305831 is a wasteful number, since it uses less digits than its factorization.

100305831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115730 (or 115713 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 100305831 is about 10015.2798762691. The cubic root of 100305831 is about 464.6315823864.

Adding to 100305831 its reverse (138503001), we get a palindrome (238808832).

The spelling of 100305831 in words is "one hundred million, three hundred five thousand, eight hundred thirty-one".