105332135354544 has 80 divisors (see below), whose sum is σ = 329273566000128. Its totient is φ = 28324607824896.

The previous prime is 105332135354519. The next prime is 105332135354581. The reversal of 105332135354544 is 445453531233501.

It is a happy number.

It is a super-2 number, since 2×105332135354544² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 105332135354493 and 105332135354502.

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, 9220244232 + ... + 9220255655.

Almost surely, 2^{105332135354544} is an apocalyptic number.

105332135354544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105332135354544 is an abundant number, since it is smaller than the sum of its proper divisors (223941430645584).

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

105332135354544 is a wasteful number, since it uses less digits than its factorization.

105332135354544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18440499922 (or 18440499916 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 105332135354544 in words is "one hundred five trillion, three hundred thirty-two billion, one hundred thirty-five million, three hundred fifty-four thousand, five hundred forty-four".