105452845585920 has 1920 divisors, whose sum is σ = 454568722882560. Its totient is φ = 22047550341120.

The previous prime is 105452845585849. The next prime is 105452845585979. The reversal of 105452845585920 is 29585548254501.

105452845585920 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 2 + 8 + 4 + 558 + 59 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×105452845585920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52911612444 + ... + 52911614436.

It is an arithmetic number, because the mean of its divisors is an integer number (236754543168).

Almost surely, 2^{105452845585920} is an apocalyptic number.

105452845585920 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 105452845585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227284361441280).

105452845585920 is an abundant number, since it is smaller than the sum of its proper divisors (349115877296640).

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

105452845585920 is a wasteful number, since it uses less digits than its factorization.

105452845585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 115200000, while the sum is 63.

The spelling of 105452845585920 in words is "one hundred five trillion, four hundred fifty-two billion, eight hundred forty-five million, five hundred eighty-five thousand, nine hundred twenty".