106251241246344 has 128 divisors (see below), whose sum is σ = 295316833564800. Its totient is φ = 35396147404800.

The previous prime is 106251241246327. The next prime is 106251241246357. The reversal of 106251241246344 is 443642142152601.

106251241246344 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 5 + 1 + 2 + 4 + 1 + 2 + 4 + 634 + 4 = 666.

It is a super-2 number, since 2×106251241246344² (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 106251241246344.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2748971419 + ... + 2749010069.

It is an arithmetic number, because the mean of its divisors is an integer number (2307162762225).

Almost surely, 2^{106251241246344} is an apocalyptic number.

It is an amenable number.

106251241246344 is an abundant number, since it is smaller than the sum of its proper divisors (189065592318456).

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

106251241246344 is a wasteful number, since it uses less digits than its factorization.

106251241246344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45860 (or 45850 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 106251241246344 its reverse (443642142152601), we get a palindrome (549893383398945).

The spelling of 106251241246344 in words is "one hundred six trillion, two hundred fifty-one billion, two hundred forty-one million, two hundred forty-six thousand, three hundred forty-four".