105645894750 has 384 divisors, whose sum is σ = 329645721600. Its totient is φ = 24144480000.

The previous prime is 105645894743. The next prime is 105645894793. The reversal of 105645894750 is 57498546501.

It is a happy number.

105645894750 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 4 + 589 + 4 + 7 + 50 = 666.

It is a super-2 number, since 2×105645894750² (a number of 23 digits) contains 22 as substring.

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, 127437336 + ... + 127438164.

It is an arithmetic number, because the mean of its divisors is an integer number (858452400).

Almost surely, 2^105645894750 is an apocalyptic number.

105645894750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105645894750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164822860800).

105645894750 is an abundant number, since it is smaller than the sum of its proper divisors (223999826850).

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

105645894750 is a wasteful number, since it uses less digits than its factorization.

105645894750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 105645894750 in words is "one hundred five billion, six hundred forty-five million, eight hundred ninety-four thousand, seven hundred fifty".