105346546146 has 48 divisors (see below), whose sum is σ = 234097905600. Its totient is φ = 34224746400.

The previous prime is 105346546139. The next prime is 105346546153. The reversal of 105346546146 is 641645643501.

105346546146 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 465 + 46 + 146 = 666.

It is an interprime number because it is at equal distance from previous prime (105346546139) and next prime (105346546153).

It is a super-2 number, since 2×105346546146² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221596 + ... + 509703.

It is an arithmetic number, because the mean of its divisors is an integer number (4877039700).

Almost surely, 2^105346546146 is an apocalyptic number.

105346546146 is an abundant number, since it is smaller than the sum of its proper divisors (128751359454).

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

105346546146 is a wasteful number, since it uses less digits than its factorization.

105346546146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731511 (or 731508 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 105346546146 in words is "one hundred five billion, three hundred forty-six million, five hundred forty-six thousand, one hundred forty-six".