105366550140432 has 2160 divisors, whose sum is σ = 393436185472512. Its totient is φ = 27181964759040.

The previous prime is 105366550140419. The next prime is 105366550140461. The reversal of 105366550140432 is 234041055663501.

It is a happy number.

105366550140432 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 6 + 65 + 501 + 40 + 43 + 2 = 666.

It is a super-2 number, since 2×105366550140432² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 155637444478 + ... + 155637445154.

Almost surely, 2^{105366550140432} is an apocalyptic number.

105366550140432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105366550140432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196718092736256).

105366550140432 is an abundant number, since it is smaller than the sum of its proper divisors (288069635332080).

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

105366550140432 is a wasteful number, since it uses less digits than its factorization.

105366550140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 105366550140432 in words is "one hundred five trillion, three hundred sixty-six billion, five hundred fifty million, one hundred forty thousand, four hundred thirty-two".