105291524394 has 96 divisors (see below), whose sum is σ = 276140606976. Its totient is φ = 28305262080.

The previous prime is 105291524381. The next prime is 105291524413. The reversal of 105291524394 is 493425192501.

It is a happy number.

105291524394 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 91 + 524 + 39 + 4 = 666.

It is a super-2 number, since 2×105291524394² (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 47 ways as a sum of consecutive naturals, for example, 11200104 + ... + 11209500.

It is an arithmetic number, because the mean of its divisors is an integer number (2876464656).

Almost surely, 2^105291524394 is an apocalyptic number.

105291524394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105291524394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138070303488).

105291524394 is an abundant number, since it is smaller than the sum of its proper divisors (170849082582).

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

105291524394 is a wasteful number, since it uses less digits than its factorization.

105291524394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 105291524394 in words is "one hundred five billion, two hundred ninety-one million, five hundred twenty-four thousand, three hundred ninety-four".