105078893056 has 40 divisors (see below), whose sum is σ = 210373812000. Its totient is φ = 52434029568.

The previous prime is 105078893053. The next prime is 105078893057. The reversal of 105078893056 is 650398870501.

It is a super-2 number, since 2×105078893056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105078892994 and 105078893012.

It is not an unprimeable number, because it can be changed into a prime (105078893053) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49845 + ... + 461131.

It is an arithmetic number, because the mean of its divisors is an integer number (5259345300).

Almost surely, 2^105078893056 is an apocalyptic number.

105078893056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105078893056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105186906000).

105078893056 is an abundant number, since it is smaller than the sum of its proper divisors (105294918944).

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

105078893056 is an frugal number, since it uses more digits than its factorization.

105078893056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411804 (or 411788 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 105078893056 in words is "one hundred five billion, seventy-eight million, eight hundred ninety-three thousand, fifty-six".