105552024135540 has 96 divisors (see below), whose sum is σ = 297261016276224. Its totient is φ = 27983926241280.

The previous prime is 105552024135521. The next prime is 105552024135697. The reversal of 105552024135540 is 45531420255501.

It is a happy number.

It is a super-2 number, since 2×105552024135540² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105552024135492 and 105552024135501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37824732 + ... + 40519308.

It is an arithmetic number, because the mean of its divisors is an integer number (3096468919544).

Almost surely, 2^{105552024135540} is an apocalyptic number.

105552024135540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105552024135540 is an abundant number, since it is smaller than the sum of its proper divisors (191708992140684).

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

105552024135540 is a wasteful number, since it uses less digits than its factorization.

105552024135540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698377 (or 2698375 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 42.

The spelling of 105552024135540 in words is "one hundred five trillion, five hundred fifty-two billion, twenty-four million, one hundred thirty-five thousand, five hundred forty".