105061564256 has 48 divisors (see below), whose sum is σ = 230891145408. Its totient is φ = 46644662400.

The previous prime is 105061564229. The next prime is 105061564259. The reversal of 105061564256 is 652465160501.

It is a super-2 number, since 2×105061564256² (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 (105061564259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3455450 + ... + 3485721.

It is an arithmetic number, because the mean of its divisors is an integer number (4810232196).

Almost surely, 2^105061564256 is an apocalyptic number.

105061564256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105061564256 is an abundant number, since it is smaller than the sum of its proper divisors (125829581152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105061564256 is a wasteful number, since it uses less digits than its factorization.

105061564256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6941235 (or 6941227 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 105061564256 in words is "one hundred five billion, sixty-one million, five hundred sixty-four thousand, two hundred fifty-six".