131007105 has 16 divisors (see below), whose sum is σ = 232901760. Its totient is φ = 69870384.

The previous prime is 131007059. The next prime is 131007113. The reversal of 131007105 is 501700131.

It is a happy number.

It is not a de Polignac number, because 131007105 - 2¹⁰ = 131006081 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485077 + ... + 485346.

It is an arithmetic number, because the mean of its divisors is an integer number (14556360).

Almost surely, 2^131007105 is an apocalyptic number.

131007105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131007105 is a deficient number, since it is larger than the sum of its proper divisors (101894655).

131007105 is an equidigital number, since it uses as much as digits as its factorization.

131007105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970437 (or 970431 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 131007105 is about 11445.8335214173. The cubic root of 131007105 is about 507.8844894642.

Adding to 131007105 its reverse (501700131), we get a palindrome (632707236).

The spelling of 131007105 in words is "one hundred thirty-one million, seven thousand, one hundred five".