105405604128 has 192 divisors, whose sum is σ = 338519139840. Its totient is φ = 31642272000.

The previous prime is 105405604097. The next prime is 105405604133. The reversal of 105405604128 is 821406504501.

It is a happy number.

105405604128 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 5 + 604 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×105405604128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105405604092 and 105405604101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965103 + ... + 1068753.

It is an arithmetic number, because the mean of its divisors is an integer number (1763120520).

Almost surely, 2^105405604128 is an apocalyptic number.

105405604128 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 105405604128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169259569920).

105405604128 is an abundant number, since it is smaller than the sum of its proper divisors (233113535712).

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

105405604128 is a wasteful number, since it uses less digits than its factorization.

105405604128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103788 (or 103774 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 105405604128 in words is "one hundred five billion, four hundred five million, six hundred four thousand, one hundred twenty-eight".