106415359281 has 64 divisors (see below), whose sum is σ = 196665446400. Its totient is φ = 55249257600.

The previous prime is 106415359199. The next prime is 106415359301. The reversal of 106415359281 is 182953514601.

It is a happy number.

106415359281 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 53 + 592 + 8 + 1 = 666.

It is not a de Polignac number, because 106415359281 - 2¹⁸ = 106415097137 is a prime.

It is a super-2 number, since 2×106415359281² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106415359681) 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 63 ways as a sum of consecutive naturals, for example, 3892821 + ... + 3920061.

It is an arithmetic number, because the mean of its divisors is an integer number (3072897600).

Almost surely, 2^106415359281 is an apocalyptic number.

106415359281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106415359281 is a deficient number, since it is larger than the sum of its proper divisors (90250087119).

106415359281 is a wasteful number, since it uses less digits than its factorization.

106415359281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29147 (or 29141 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 106415359281 in words is "one hundred six billion, four hundred fifteen million, three hundred fifty-nine thousand, two hundred eighty-one".