105343552152 has 24 divisors (see below), whose sum is σ = 285305453940. Its totient is φ = 35114517360.

The previous prime is 105343552133. The next prime is 105343552199. The reversal of 105343552152 is 251255343501.

105343552152 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 435 + 5 + 215 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105343552152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 731552374 + ... + 731552517.

Almost surely, 2^105343552152 is an apocalyptic number.

105343552152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105343552152 is an abundant number, since it is smaller than the sum of its proper divisors (179961901788).

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

105343552152 is a wasteful number, since it uses less digits than its factorization.

105343552152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463104903 (or 1463104896 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

Adding to 105343552152 its reverse (251255343501), we get a palindrome (356598895653).

The spelling of 105343552152 in words is "one hundred five billion, three hundred forty-three million, five hundred fifty-two thousand, one hundred fifty-two".