131988105 has 24 divisors (see below), whose sum is σ = 229050432. Its totient is φ = 70310304.

The previous prime is 131988097. The next prime is 131988107. The reversal of 131988105 is 501889131.

It is not a de Polignac number, because 131988105 - 2³ = 131988097 is a prime.

It is a super-2 number, since 2×131988105² = 34841719722982050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131988105.

It is not an unprimeable number, because it can be changed into a prime (131988107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64102 + ... + 66128.

It is an arithmetic number, because the mean of its divisors is an integer number (9543768).

Almost surely, 2^131988105 is an apocalyptic number.

131988105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131988105 is a deficient number, since it is larger than the sum of its proper divisors (97062327).

131988105 is a wasteful number, since it uses less digits than its factorization.

131988105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 131988105 is about 11488.6076179840. The cubic root of 131988105 is about 509.1490422899.

The spelling of 131988105 in words is "one hundred thirty-one million, nine hundred eighty-eight thousand, one hundred five".