105033555543213 has 48 divisors (see below), whose sum is σ = 166923140407296. Its totient is φ = 63112868975520.

The previous prime is 105033555543173. The next prime is 105033555543247. The reversal of 105033555543213 is 312345555330501.

105033555543213 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 3 + 3 + 55 + 554 + 32 + 13 = 666.

It is not a de Polignac number, because 105033555543213 - 2⁸ = 105033555542957 is a prime.

It is a super-2 number, since 2×105033555543213² (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 (105033555543283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15829206 + ... + 21462312.

It is an arithmetic number, because the mean of its divisors is an integer number (3477565425152).

Almost surely, 2^{105033555543213} is an apocalyptic number.

It is an amenable number.

105033555543213 is a deficient number, since it is larger than the sum of its proper divisors (61889584864083).

105033555543213 is a wasteful number, since it uses less digits than its factorization.

105033555543213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634734 (or 5634731 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 105033555543213 in words is "one hundred five trillion, thirty-three billion, five hundred fifty-five million, five hundred forty-three thousand, two hundred thirteen".