105057533559 has 24 divisors (see below), whose sum is σ = 159277895280. Its totient is φ = 61475666560.

The previous prime is 105057533543. The next prime is 105057533561. The reversal of 105057533559 is 955335750501.

It is not a de Polignac number, because 105057533559 - 2⁴ = 105057533543 is a prime.

It is a super-2 number, since 2×105057533559² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105057533569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4979382 + ... + 5000435.

It is an arithmetic number, because the mean of its divisors is an integer number (6636578970).

Almost surely, 2^105057533559 is an apocalyptic number.

105057533559 is a deficient number, since it is larger than the sum of its proper divisors (54220361721).

105057533559 is a wasteful number, since it uses less digits than its factorization.

105057533559 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9979871 (or 9979860 counting only the distinct ones).

The product of its (nonzero) digits is 1771875, while the sum is 48.

The spelling of 105057533559 in words is "one hundred five billion, fifty-seven million, five hundred thirty-three thousand, five hundred fifty-nine".