105365465604 has 192 divisors, whose sum is σ = 316249920000. Its totient is φ = 29714522112.

The previous prime is 105365465581. The next prime is 105365465617. The reversal of 105365465604 is 406564563501.

105365465604 is a `hidden beast` number, since 1 + 0 + 5 + 36 + 5 + 4 + 6 + 5 + 604 = 666.

It is a super-2 number, since 2×105365465604² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105365465604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55777492 + ... + 55779380.

It is an arithmetic number, because the mean of its divisors is an integer number (1647135000).

Almost surely, 2^105365465604 is an apocalyptic number.

105365465604 is a gapful number since it is divisible by the number (14) 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 105365465604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158124960000).

105365465604 is an abundant number, since it is smaller than the sum of its proper divisors (210884454396).

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

105365465604 is a wasteful number, since it uses less digits than its factorization.

105365465604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 105365465604 in words is "one hundred five billion, three hundred sixty-five million, four hundred sixty-five thousand, six hundred four".