106855764543 has 32 divisors (see below), whose sum is σ = 172716261120. Its totient is φ = 64753541280.

The previous prime is 106855764493. The next prime is 106855764551. The reversal of 106855764543 is 345467558601.

It is a happy number.

106855764543 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 557 + 6 + 45 + 43 = 666.

It is a Cunningham number, because it is equal to 326888²-1.

It is not a de Polignac number, because 106855764543 - 2⁸ = 106855764287 is a prime.

It is a super-2 number, since 2×106855764543² (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 106855764543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106855763543) 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, 3580921 + ... + 3610637.

It is an arithmetic number, because the mean of its divisors is an integer number (5397383160).

Almost surely, 2^106855764543 is an apocalyptic number.

106855764543 is a deficient number, since it is larger than the sum of its proper divisors (65860496577).

106855764543 is a wasteful number, since it uses less digits than its factorization.

106855764543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41844 (or 41838 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 106855764543 in words is "one hundred six billion, eight hundred fifty-five million, seven hundred sixty-four thousand, five hundred forty-three".