105094935324 has 192 divisors, whose sum is σ = 287319674880. Its totient is φ = 33174385920.

The previous prime is 105094935287. The next prime is 105094935343. The reversal of 105094935324 is 423539490501.

105094935324 is a `hidden beast` number, since 1 + 0 + 509 + 4 + 93 + 53 + 2 + 4 = 666.

It is a super-2 number, since 2×105094935324² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105094935324.

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 63 ways as a sum of consecutive naturals, for example, 115870479 + ... + 115871385.

It is an arithmetic number, because the mean of its divisors is an integer number (1496456640).

Almost surely, 2^105094935324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105094935324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143659837440).

105094935324 is an abundant number, since it is smaller than the sum of its proper divisors (182224739556).

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

105094935324 is a wasteful number, since it uses less digits than its factorization.

105094935324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 105094935324 in words is "one hundred five billion, ninety-four million, nine hundred thirty-five thousand, three hundred twenty-four".