105057533536 has 48 divisors (see below), whose sum is σ = 208571754384. Its totient is φ = 52088684544.

The previous prime is 105057533533. The next prime is 105057533543. The reversal of 105057533536 is 635335750501.

It is a super-2 number, since 2×105057533536² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105057533492 and 105057533501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105057533531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1905915 + ... + 1960261.

It is an arithmetic number, because the mean of its divisors is an integer number (4345244883).

Almost surely, 2^105057533536 is an apocalyptic number.

105057533536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105057533536 is a deficient number, since it is larger than the sum of its proper divisors (103514220848).

105057533536 is a wasteful number, since it uses less digits than its factorization.

105057533536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54863 (or 54855 counting only the distinct ones).

The product of its (nonzero) digits is 708750, while the sum is 43.

The spelling of 105057533536 in words is "one hundred five billion, fifty-seven million, five hundred thirty-three thousand, five hundred thirty-six".