105725990223360 has 960 divisors, whose sum is σ = 415035083054592. Its totient is φ = 25636297015296.

The previous prime is 105725990223331. The next prime is 105725990223379. The reversal of 105725990223360 is 63322099527501.

105725990223360 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 59 + 9 + 0 + 223 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×105725990223360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 105725990223297 and 105725990223306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541734117 + ... + 541929243.

Almost surely, 2^{105725990223360} is an apocalyptic number.

105725990223360 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 105725990223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207517541527296).

105725990223360 is an abundant number, since it is smaller than the sum of its proper divisors (309309092831232).

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

105725990223360 is an equidigital number, since it uses as much as digits as its factorization.

105725990223360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195245 (or 195217 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 105725990223360 in words is "one hundred five trillion, seven hundred twenty-five billion, nine hundred ninety million, two hundred twenty-three thousand, three hundred sixty".