106249920841 has 16 divisors (see below), whose sum is σ = 108348565248. Its totient is φ = 104163393600.

The previous prime is 106249920839. The next prime is 106249920859. The reversal of 106249920841 is 148029942601.

It is a cyclic number.

It is not a de Polignac number, because 106249920841 - 2¹ = 106249920839 is a prime.

It is a super-2 number, since 2×106249920841² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106249920791 and 106249920800.

It is not an unprimeable number, because it can be changed into a prime (106249920041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29668671 + ... + 29672251.

It is an arithmetic number, because the mean of its divisors is an integer number (6771785328).

Almost surely, 2^106249920841 is an apocalyptic number.

It is an amenable number.

106249920841 is a deficient number, since it is larger than the sum of its proper divisors (2098644407).

106249920841 is an equidigital number, since it uses as much as digits as its factorization.

106249920841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112.

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 106249920841 in words is "one hundred six billion, two hundred forty-nine million, nine hundred twenty thousand, eight hundred forty-one".