105725946816 has 448 divisors, whose sum is σ = 375025920000. Its totient is φ = 29161036800.

The previous prime is 105725946773. The next prime is 105725946817. The reversal of 105725946816 is 618649527501.

It is a happy number.

105725946816 is a `hidden beast` number, since 1 + 0 + 572 + 5 + 9 + 4 + 68 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×105725946816² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105725946817) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17185341 + ... + 17191491.

Almost surely, 2^105725946816 is an apocalyptic number.

105725946816 is a gapful number since it is divisible by the number (16) 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 105725946816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187512960000).

105725946816 is an abundant number, since it is smaller than the sum of its proper divisors (269299973184).

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

105725946816 is an equidigital number, since it uses as much as digits as its factorization.

105725946816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6222 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 105725946816 in words is "one hundred five billion, seven hundred twenty-five million, nine hundred forty-six thousand, eight hundred sixteen".