105059845044000 has 1920 divisors, whose sum is σ = 490988136038400. Its totient is φ = 21365897472000.

The previous prime is 105059845043977. The next prime is 105059845044163. The reversal of 105059845044000 is 440548950501.

105059845044000 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 598 + 4 + 50 + 4 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×105059845044000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1172511201 + ... + 1172600799.

It is an arithmetic number, because the mean of its divisors is an integer number (255722987520).

Almost surely, 2^{105059845044000} is an apocalyptic number.

105059845044000 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 105059845044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245494068019200).

105059845044000 is an abundant number, since it is smaller than the sum of its proper divisors (385928290994400).

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

105059845044000 is a wasteful number, since it uses less digits than its factorization.

105059845044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89701 (or 89674 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 105059845044000 in words is "one hundred five trillion, fifty-nine billion, eight hundred forty-five million, forty-four thousand".