105851142144 has 360 divisors, whose sum is σ = 346079287008. Its totient is φ = 32062832640.

The previous prime is 105851142143. The next prime is 105851142151. The reversal of 105851142144 is 441241158501.

105851142144 is a `hidden beast` number, since 1 + 0 + 585 + 1 + 14 + 21 + 44 = 666.

It is a super-2 number, since 2×105851142144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105851142099 and 105851142108.

It is not an unprimeable number, because it can be changed into a prime (105851142143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43793224 + ... + 43795640.

Almost surely, 2^105851142144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105851142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173039643504).

105851142144 is an abundant number, since it is smaller than the sum of its proper divisors (240228144864).

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

105851142144 is an frugal number, since it uses more digits than its factorization.

105851142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 105851142144 in words is "one hundred five billion, eight hundred fifty-one million, one hundred forty-two thousand, one hundred forty-four".