100311541 has 12 divisors (see below), whose sum is σ = 110502252. Its totient is φ = 90992000.

The previous prime is 100311517. The next prime is 100311553. The reversal of 100311541 is 145113001.

It can be written as a sum of positive squares in 2 ways, for example, as 38626225 + 61685316 = 6215^2 + 7854^2 .

It is not a de Polignac number, because 100311541 - 2⁷ = 100311413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311641) 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, 106131 + ... + 107071.

It is an arithmetic number, because the mean of its divisors is an integer number (9208521).

Almost surely, 2^100311541 is an apocalyptic number.

100311541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100311541 is a deficient number, since it is larger than the sum of its proper divisors (10190711).

100311541 is an equidigital number, since it uses as much as digits as its factorization.

100311541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 100311541 is about 10015.5649366374. The cubic root of 100311541 is about 464.6403987432.

Adding to 100311541 its reverse (145113001), we get a palindrome (245424542).

It can be divided in two parts, 1003 and 11541, that added together give a square (12544 = 112²).

The spelling of 100311541 in words is "one hundred million, three hundred eleven thousand, five hundred forty-one".