105140514525444 has 144 divisors (see below), whose sum is σ = 285883655977920. Its totient is φ = 33747603765120.

The previous prime is 105140514525427. The next prime is 105140514525493. The reversal of 105140514525444 is 444525415041501.

105140514525444 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 0 + 51 + 4 + 52 + 544 + 4 = 666.

It is a super-2 number, since 2×105140514525444² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105140514525444.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5514159 + ... + 15514089.

Almost surely, 2^{105140514525444} 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 105140514525444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142941827988960).

105140514525444 is an abundant number, since it is smaller than the sum of its proper divisors (180743141452476).

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

105140514525444 is a wasteful number, since it uses less digits than its factorization.

105140514525444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000352 (or 10000338 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 45.

Adding to 105140514525444 its reverse (444525415041501), we get a palindrome (549665929566945).

The spelling of 105140514525444 in words is "one hundred five trillion, one hundred forty billion, five hundred fourteen million, five hundred twenty-five thousand, four hundred forty-four".