131624105 has 8 divisors (see below), whose sum is σ = 158822664. Its totient is φ = 104716800.

The previous prime is 131624099. The next prime is 131624107. The reversal of 131624105 is 501426131.

It can be written as a sum of positive squares in 4 ways, for example, as 17732521 + 113891584 = 4211^2 + 10672^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131624105 - 2⁴ = 131624089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131624107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71816 + ... + 73625.

It is an arithmetic number, because the mean of its divisors is an integer number (19852833).

Almost surely, 2^131624105 is an apocalyptic number.

It is an amenable number.

131624105 is a deficient number, since it is larger than the sum of its proper divisors (27198559).

131624105 is a wasteful number, since it uses less digits than its factorization.

131624105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145627.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 131624105 is about 11472.7549001972. The cubic root of 131624105 is about 508.6805635020.

The spelling of 131624105 in words is "one hundred thirty-one million, six hundred twenty-four thousand, one hundred five".