105092383511808 has 432 divisors, whose sum is σ = 378727101357696. Its totient is φ = 27227947253760.

The previous prime is 105092383511807. The next prime is 105092383511879. The reversal of 105092383511808 is 808115383290501.

105092383511808 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 92 + 38 + 3 + 511 + 8 + 0 + 8 = 666.

It is a super-2 number, since 2×105092383511808² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105092383511807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69684910 + ... + 71177042.

Almost surely, 2^{105092383511808} is an apocalyptic number.

105092383511808 is a gapful number since it is divisible by the number (18) 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 105092383511808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189363550678848).

105092383511808 is an abundant number, since it is smaller than the sum of its proper divisors (273634717845888).

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

105092383511808 is a wasteful number, since it uses less digits than its factorization.

105092383511808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492570 (or 1492553 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 105092383511808 in words is "one hundred five trillion, ninety-two billion, three hundred eighty-three million, five hundred eleven thousand, eight hundred eight".