105606455141346 has 64 divisors (see below), whose sum is σ = 214112776467456. Its totient is φ = 34721645112000.

The previous prime is 105606455141333. The next prime is 105606455141449. The reversal of 105606455141346 is 643141554606501.

It is a super-3 number, since 3×105606455141346³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 261964491 + ... + 262367313.

It is an arithmetic number, because the mean of its divisors is an integer number (3345512132304).

Almost surely, 2^{105606455141346} is an apocalyptic number.

105606455141346 is an abundant number, since it is smaller than the sum of its proper divisors (108506321326110).

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

105606455141346 is a wasteful number, since it uses less digits than its factorization.

105606455141346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404567.

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 105606455141346 in words is "one hundred five trillion, six hundred six billion, four hundred fifty-five million, one hundred forty-one thousand, three hundred forty-six".