105604346520 has 192 divisors, whose sum is σ = 354121372800. Its totient is φ = 27279682560.

The previous prime is 105604346503. The next prime is 105604346531. The reversal of 105604346520 is 25643406501.

105604346520 is a `hidden beast` number, since 1 + 0 + 5 + 604 + 3 + 46 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×105604346520² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1472290 + ... + 1542350.

It is an arithmetic number, because the mean of its divisors is an integer number (1844382150).

Almost surely, 2^105604346520 is an apocalyptic number.

105604346520 is a gapful number since it is divisible by the number (10) 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 105604346520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177060686400).

105604346520 is an abundant number, since it is smaller than the sum of its proper divisors (248517026280).

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

105604346520 is a wasteful number, since it uses less digits than its factorization.

105604346520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70210 (or 70203 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 105604346520 in words is "one hundred five billion, six hundred four million, three hundred forty-six thousand, five hundred twenty".