105643351632 has 240 divisors, whose sum is σ = 342619320960. Its totient is φ = 27802543104.

The previous prime is 105643351631. The next prime is 105643351663. The reversal of 105643351632 is 236153346501.

It is a super-2 number, since 2×105643351632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105643351631) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 15376294 + ... + 15383162.

It is an arithmetic number, because the mean of its divisors is an integer number (1427580504).

Almost surely, 2^105643351632 is an apocalyptic number.

105643351632 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 105643351632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171309660480).

105643351632 is an abundant number, since it is smaller than the sum of its proper divisors (236975969328).

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

105643351632 is a wasteful number, since it uses less digits than its factorization.

105643351632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7410 (or 7397 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 105643351632 in words is "one hundred five billion, six hundred forty-three million, three hundred fifty-one thousand, six hundred thirty-two".