105949747475712 has 432 divisors, whose sum is σ = 362597001137280. Its totient is φ = 29111040000000.

The previous prime is 105949747475707. The next prime is 105949747475713. The reversal of 105949747475712 is 217574747949501.

105949747475712 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 4 + 9 + 7 + 4 + 7 + 47 + 571 + 2 = 666.

It is a super-2 number, since 2×105949747475712² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105949747475713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116944462 + ... + 117846962.

It is an arithmetic number, because the mean of its divisors is an integer number (839344910040).

Almost surely, 2^{105949747475712} is an apocalyptic number.

105949747475712 is a gapful number since it is divisible by the number (12) 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 105949747475712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181298500568640).

105949747475712 is an abundant number, since it is smaller than the sum of its proper divisors (256647253661568).

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

105949747475712 is a wasteful number, since it uses less digits than its factorization.

105949747475712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902810 (or 902793 counting only the distinct ones).

The product of its (nonzero) digits is 622339200, while the sum is 72.

The spelling of 105949747475712 in words is "one hundred five trillion, nine hundred forty-nine billion, seven hundred forty-seven million, four hundred seventy-five thousand, seven hundred twelve".