105105605555060 has 48 divisors (see below), whose sum is σ = 240927137059392. Its totient is φ = 38198037696000.

The previous prime is 105105605555017. The next prime is 105105605555089. The reversal of 105105605555060 is 60555506501501.

It is a super-2 number, since 2×105105605555060² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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, 138260741 + ... + 139018860.

It is an arithmetic number, because the mean of its divisors is an integer number (5019315355404).

Almost surely, 2^{105105605555060} is an apocalyptic number.

105105605555060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105105605555060 is an abundant number, since it is smaller than the sum of its proper divisors (135821531504332).

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

105105605555060 is a wasteful number, since it uses less digits than its factorization.

105105605555060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277281344 (or 277281342 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 44.

The spelling of 105105605555060 in words is "one hundred five trillion, one hundred five billion, six hundred five million, five hundred fifty-five thousand, sixty".