103312101 has 32 divisors (see below), whose sum is σ = 151022080. Its totient is φ = 62596800.

The previous prime is 103312073. The next prime is 103312129. The reversal of 103312101 is 101213301.

It is an interprime number because it is at equal distance from previous prime (103312073) and next prime (103312129).

It is not a de Polignac number, because 103312101 - 2⁶ = 103312037 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 (103312151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149166 + ... + 149856.

It is an arithmetic number, because the mean of its divisors is an integer number (4719440).

Almost surely, 2^103312101 is an apocalyptic number.

It is an amenable number.

103312101 is a deficient number, since it is larger than the sum of its proper divisors (47709979).

103312101 is a wasteful number, since it uses less digits than its factorization.

103312101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 103312101 is about 10164.2560475423. The cubic root of 103312101 is about 469.2277964082.

Adding to 103312101 its reverse (101213301), we get a palindrome (204525402).

The spelling of 103312101 in words is "one hundred three million, three hundred twelve thousand, one hundred one".