100001307 has 32 divisors (see below), whose sum is σ = 156736000. Its totient is φ = 56687904.

The previous prime is 100001303. The next prime is 100001329. The reversal of 100001307 is 703100001.

It is not a de Polignac number, because 100001307 - 2² = 100001303 is a prime.

It is a super-2 number, since 2×100001307² = 20000522803416498, 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 = 100001292 and 100001301.

It is not an unprimeable number, because it can be changed into a prime (100001303) 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, 161244 + ... + 161862.

It is an arithmetic number, because the mean of its divisors is an integer number (4898000).

Almost surely, 2^100001307 is an apocalyptic number.

100001307 is a deficient number, since it is larger than the sum of its proper divisors (56734693).

100001307 is an equidigital number, since it uses as much as digits as its factorization.

100001307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 100001307 is about 10000.0653497865. The cubic root of 100001307 is about 464.1609055380.

Adding to 100001307 its reverse (703100001), we get a palindrome (803101308).

The spelling of 100001307 in words is "one hundred million, one thousand, three hundred seven".