105474342407764 has 48 divisors (see below), whose sum is σ = 213626969579520. Its totient is φ = 45061938804960.

The previous prime is 105474342407741. The next prime is 105474342407803. The reversal of 105474342407764 is 467704243474501.

It is a happy number.

It is a super-2 number, since 2×105474342407764² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105474342407699 and 105474342407708.

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, 496608322 + ... + 496820665.

It is an arithmetic number, because the mean of its divisors is an integer number (4450561866240).

Almost surely, 2^{105474342407764} is an apocalyptic number.

It is an amenable number.

105474342407764 is an abundant number, since it is smaller than the sum of its proper divisors (108152627171756).

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

105474342407764 is a wasteful number, since it uses less digits than its factorization.

105474342407764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993429148 (or 993429146 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 58.

The spelling of 105474342407764 in words is "one hundred five trillion, four hundred seventy-four billion, three hundred forty-two million, four hundred seven thousand, seven hundred sixty-four".