105057533555 has 64 divisors (see below), whose sum is σ = 145403330688. Its totient is φ = 72183521280.

The previous prime is 105057533543. The next prime is 105057533561. The reversal of 105057533555 is 555335750501.

It is not a de Polignac number, because 105057533555 - 2²⁶ = 104990424691 is a prime.

It is a super-2 number, since 2×105057533555² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 42411977 + ... + 42414453.

It is an arithmetic number, because the mean of its divisors is an integer number (2271927042).

Almost surely, 2^105057533555 is an apocalyptic number.

105057533555 is a deficient number, since it is larger than the sum of its proper divisors (40345797133).

105057533555 is a wasteful number, since it uses less digits than its factorization.

105057533555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936.

The product of its (nonzero) digits is 984375, while the sum is 44.

The spelling of 105057533555 in words is "one hundred five billion, fifty-seven million, five hundred thirty-three thousand, five hundred fifty-five".