105745862443200 has 672 divisors, whose sum is σ = 425134318233600. Its totient is φ = 22460722053120.

The previous prime is 105745862443189. The next prime is 105745862443201. The reversal of 105745862443200 is 2344268547501.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×105745862443200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (105745862443201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43953096 + ... + 46296504.

Almost surely, 2^{105745862443200} is an apocalyptic number.

105745862443200 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 105745862443200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212567159116800).

105745862443200 is an abundant number, since it is smaller than the sum of its proper divisors (319388455790400).

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

105745862443200 is a wasteful number, since it uses less digits than its factorization.

105745862443200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343537 (or 2343522 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 51.

The spelling of 105745862443200 in words is "one hundred five trillion, seven hundred forty-five billion, eight hundred sixty-two million, four hundred forty-three thousand, two hundred".