100105083733343 has 32 divisors (see below), whose sum is σ = 111098862336000. Its totient is φ = 89613023673600.

The previous prime is 100105083733337. The next prime is 100105083733357. The reversal of 100105083733343 is 343337380501001.

It is a cyclic number.

It is not a de Polignac number, because 100105083733343 - 2¹⁶ = 100105083667807 is a prime.

It is a super-2 number, since 2×100105083733343² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100105083733343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105083733363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168436955 + ... + 169030227.

It is an arithmetic number, because the mean of its divisors is an integer number (3471839448000).

Almost surely, 2^{100105083733343} is an apocalyptic number.

100105083733343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100105083733343 is a deficient number, since it is larger than the sum of its proper divisors (10993778602657).

100105083733343 is a wasteful number, since it uses less digits than its factorization.

100105083733343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595479.

The product of its (nonzero) digits is 272160, while the sum is 41.

The spelling of 100105083733343 in words is "one hundred trillion, one hundred five billion, eighty-three million, seven hundred thirty-three thousand, three hundred forty-three".