105505405306460 has 24 divisors (see below), whose sum is σ = 221565601629456. Its totient is φ = 42201352506240.

The previous prime is 105505405306451. The next prime is 105505405306507. The reversal of 105505405306460 is 64603504505501.

It is a super-2 number, since 2×105505405306460² (a number of 29 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 7 ways as a sum of consecutive naturals, for example, 49531886 + ... + 51618005.

It is an arithmetic number, because the mean of its divisors is an integer number (9231900067894).

Almost surely, 2^{105505405306460} is an apocalyptic number.

105505405306460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105505405306460 is an abundant number, since it is smaller than the sum of its proper divisors (116060196322996).

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

105505405306460 is a wasteful number, since it uses less digits than its factorization.

105505405306460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101202053 (or 101202051 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 44.

The spelling of 105505405306460 in words is "one hundred five trillion, five hundred five billion, four hundred five million, three hundred six thousand, four hundred sixty".