105443472000 has 512 divisors, whose sum is σ = 361686124800. Its totient is φ = 27156480000.

The previous prime is 105443471953. The next prime is 105443472011. The reversal of 105443472000 is 274344501.

It is a super-2 number, since 2×105443472000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257807796 + ... + 257808204.

Almost surely, 2^105443472000 is an apocalyptic number.

105443472000 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 105443472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180843062400).

105443472000 is an abundant number, since it is smaller than the sum of its proper divisors (256242652800).

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

105443472000 is a wasteful number, since it uses less digits than its factorization.

105443472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The spelling of 105443472000 in words is "one hundred five billion, four hundred forty-three million, four hundred seventy-two thousand".