105469566048 has 1152 divisors, whose sum is σ = 417046855680. Its totient is φ = 25395793920.

The previous prime is 105469566043. The next prime is 105469566049. The reversal of 105469566048 is 840665964501.

105469566048 is a `hidden beast` number, since 1 + 0 + 546 + 9 + 56 + 6 + 0 + 48 = 666.

It is a super-2 number, since 2×105469566048² (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 junction number, because it is equal to n+sod(n) for n = 105469565985 and 105469566003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105469566043) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 830468961 + ... + 830469087.

It is an arithmetic number, because the mean of its divisors is an integer number (362019840).

Almost surely, 2^105469566048 is an apocalyptic number.

105469566048 is a gapful number since it is divisible by the number (18) 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 105469566048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208523427840).

105469566048 is an abundant number, since it is smaller than the sum of its proper divisors (311577289632).

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

105469566048 is a wasteful number, since it uses less digits than its factorization.

105469566048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 105469566048 in words is "one hundred five billion, four hundred sixty-nine million, five hundred sixty-six thousand, forty-eight".