105131442172608 has 140 divisors (see below), whose sum is σ = 311877397124832. Its totient is φ = 35017403466240.

The previous prime is 105131442172573. The next prime is 105131442172609. The reversal of 105131442172608 is 806271244131501.

105131442172608 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 14 + 4 + 21 + 7 + 2 + 608 = 666.

It is a super-2 number, since 2×105131442172608² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105131442172609) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 762123 + ... + 14520458.

Almost surely, 2^{105131442172608} is an apocalyptic number.

105131442172608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105131442172608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155938698562416).

105131442172608 is an abundant number, since it is smaller than the sum of its proper divisors (206745954952224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105131442172608 is a wasteful number, since it uses less digits than its factorization.

105131442172608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15283932 (or 15283913 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 105131442172608 in words is "one hundred five trillion, one hundred thirty-one billion, four hundred forty-two million, one hundred seventy-two thousand, six hundred eight".