105900665930390 has 16 divisors (see below), whose sum is σ = 190671322645008. Its totient is φ = 42349127712096.

The previous prime is 105900665930383. The next prime is 105900665930399. The reversal of 105900665930390 is 93039566009501.

It is a super-2 number, since 2×105900665930390² (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 (105900665930399) 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 7 ways as a sum of consecutive naturals, for example, 1392292577 + ... + 1392368636.

It is an arithmetic number, because the mean of its divisors is an integer number (11916957665313).

Almost surely, 2^{105900665930390} is an apocalyptic number.

105900665930390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105900665930390 is a deficient number, since it is larger than the sum of its proper divisors (84770656714618).

105900665930390 is a wasteful number, since it uses less digits than its factorization.

105900665930390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784665023.

The product of its (nonzero) digits is 5904900, while the sum is 56.

The spelling of 105900665930390 in words is "one hundred five trillion, nine hundred billion, six hundred sixty-five million, nine hundred thirty thousand, three hundred ninety".