100115301 has 32 divisors (see below), whose sum is σ = 158336640. Its totient is φ = 55468800.

The previous prime is 100115291. The next prime is 100115321. The reversal of 100115301 is 103511001.

100115301 is nontrivially palindromic in base 14.

It is not a de Polignac number, because 100115301 - 2⁵ = 100115269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100115321) 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, 45691 + ... + 47831.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^100115301 is an apocalyptic number.

100115301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100115301 is a deficient number, since it is larger than the sum of its proper divisors (58221339).

100115301 is a wasteful number, since it uses less digits than its factorization.

100115301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277.

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 100115301 is about 10005.7633891673. The cubic root of 100115301 is about 464.3372081201.

Adding to 100115301 its reverse (103511001), we get a palindrome (203626302).

The spelling of 100115301 in words is "one hundred million, one hundred fifteen thousand, three hundred one".