105243678473472 has 3888 divisors, whose sum is σ = 439939874949120. Its totient is φ = 24718572748800.

The previous prime is 105243678473419. The next prime is 105243678473473. The reversal of 105243678473472 is 274374876342501.

105243678473472 is a `hidden beast` number, since 1 + 0 + 5 + 24 + 3 + 6 + 78 + 4 + 73 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

It is a super-2 number, since 2×105243678473472² (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 not an unprimeable number, because it can be changed into a prime (105243678473473) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1441694225628 + ... + 1441694225700.

Almost surely, 2^{105243678473472} is an apocalyptic number.

105243678473472 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 105243678473472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219969937474560).

105243678473472 is an abundant number, since it is smaller than the sum of its proper divisors (334696196475648).

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

105243678473472 is an equidigital number, since it uses as much as digits as its factorization.

105243678473472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 105243678473472 in words is "one hundred five trillion, two hundred forty-three billion, six hundred seventy-eight million, four hundred seventy-three thousand, four hundred seventy-two".