105423366640 has 20 divisors (see below), whose sum is σ = 245109327624. Its totient is φ = 42169346624.

The previous prime is 105423366613. The next prime is 105423366661. The reversal of 105423366640 is 46663324501.

It is a happy number.

105423366640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×105423366640³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 105423366593 and 105423366602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 658895962 + ... + 658896121.

Almost surely, 2^105423366640 is an apocalyptic number.

105423366640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105423366640 is an abundant number, since it is smaller than the sum of its proper divisors (139685960984).

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

105423366640 is a wasteful number, since it uses less digits than its factorization.

105423366640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317792096 (or 1317792090 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 105423366640 in words is "one hundred five billion, four hundred twenty-three million, three hundred sixty-six thousand, six hundred forty".