105467109048 has 256 divisors, whose sum is σ = 349194854400. Its totient is φ = 28859535360.

The previous prime is 105467109043. The next prime is 105467109091. The reversal of 105467109048 is 840901764501.

105467109048 is a `hidden beast` number, since 1 + 0 + 546 + 7 + 10 + 90 + 4 + 8 = 666.

It is a Cunningham number, because it is equal to 324757²-1.

It is a super-2 number, since 2×105467109048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105467108994 and 105467109012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105467109043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4534986 + ... + 4558182.

It is an arithmetic number, because the mean of its divisors is an integer number (1364042400).

Almost surely, 2^105467109048 is an apocalyptic number.

105467109048 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 105467109048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174597427200).

105467109048 is an abundant number, since it is smaller than the sum of its proper divisors (243727745352).

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

105467109048 is a wasteful number, since it uses less digits than its factorization.

105467109048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23347 (or 23337 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 105467109048 in words is "one hundred five billion, four hundred sixty-seven million, one hundred nine thousand, forty-eight".