105371495424 has 264 divisors, whose sum is σ = 328458508560. Its totient is φ = 32343293952.

The previous prime is 105371495377. The next prime is 105371495459. The reversal of 105371495424 is 424594173501.

105371495424 is a `hidden beast` number, since 1 + 0 + 53 + 71 + 495 + 42 + 4 = 666.

It is a super-2 number, since 2×105371495424² (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 105371495424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66732267 + ... + 66733845.

Almost surely, 2^105371495424 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 105371495424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164229254280).

105371495424 is an abundant number, since it is smaller than the sum of its proper divisors (223087013136).

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

105371495424 is a wasteful number, since it uses less digits than its factorization.

105371495424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2154 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 105371495424 in words is "one hundred five billion, three hundred seventy-one million, four hundred ninety-five thousand, four hundred twenty-four".