105057845856 has 72 divisors (see below), whose sum is σ = 306446507640. Its totient is φ = 35016106176.

The previous prime is 105057845819. The next prime is 105057845861. The reversal of 105057845856 is 658548750501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

105057845856 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 57 + 8 + 4 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×105057845856² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9521815 + ... + 9532841.

It is an arithmetic number, because the mean of its divisors is an integer number (4256201495).

Almost surely, 2^105057845856 is an apocalyptic number.

105057845856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105057845856 is an abundant number, since it is smaller than the sum of its proper divisors (201388661784).

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

105057845856 is an frugal number, since it uses more digits than its factorization.

105057845856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22073 (or 11032 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

Multiplying 105057845856 by its sum of digits (54), we get a square (5673123676224 = 2381832²).

105057845856 divided by its sum of digits (54) gives a square (1945515664 = 44108²).

The spelling of 105057845856 in words is "one hundred five billion, fifty-seven million, eight hundred forty-five thousand, eight hundred fifty-six".