106241116256 has 48 divisors (see below), whose sum is σ = 229630418640. Its totient is φ = 47983802880.

The previous prime is 106241116253. The next prime is 106241116291. The reversal of 106241116256 is 652611142601.

It is a super-2 number, since 2×106241116256² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106241116253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 905951 + ... + 1016478.

It is an arithmetic number, because the mean of its divisors is an integer number (4783967055).

Almost surely, 2^106241116256 is an apocalyptic number.

106241116256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106241116256 is an abundant number, since it is smaller than the sum of its proper divisors (123389302384).

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

106241116256 is a wasteful number, since it uses less digits than its factorization.

106241116256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922607 (or 1922599 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

Adding to 106241116256 its reverse (652611142601), we get a palindrome (758852258857).

The spelling of 106241116256 in words is "one hundred six billion, two hundred forty-one million, one hundred sixteen thousand, two hundred fifty-six".