105335552320 has 168 divisors, whose sum is σ = 269682858144. Its totient is φ = 39175102464.

The previous prime is 105335552249. The next prime is 105335552327. The reversal of 105335552320 is 23255533501.

It is a super-2 number, since 2×105335552320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105335552327) 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 23 ways as a sum of consecutive naturals, for example, 7668979 + ... + 7682701.

It is an arithmetic number, because the mean of its divisors is an integer number (1605255108).

Almost surely, 2^105335552320 is an apocalyptic number.

105335552320 is a gapful number since it is divisible by the number (10) 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 105335552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134841429072).

105335552320 is an abundant number, since it is smaller than the sum of its proper divisors (164347305824).

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

105335552320 is a wasteful number, since it uses less digits than its factorization.

105335552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13857 (or 13830 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 34.

The spelling of 105335552320 in words is "one hundred five billion, three hundred thirty-five million, five hundred fifty-two thousand, three hundred twenty".