105131426688 has 96 divisors (see below), whose sum is σ = 313731414360. Its totient is φ = 35043798528.

The previous prime is 105131426669. The next prime is 105131426711. The reversal of 105131426688 is 886624131501.

105131426688 is a `hidden beast` number, since 10 + 5 + 131 + 426 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105131426688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1658895 + ... + 1721102.

Almost surely, 2^105131426688 is an apocalyptic number.

105131426688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105131426688 is an abundant number, since it is smaller than the sum of its proper divisors (208599987672).

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

105131426688 is an frugal number, since it uses more digits than its factorization.

105131426688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380026 (or 3380002 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 105131426688 in words is "one hundred five billion, one hundred thirty-one million, four hundred twenty-six thousand, six hundred eighty-eight".