106115010065010 has 96 divisors (see below), whose sum is σ = 278746323710400. Its totient is φ = 28005538032000.

The previous prime is 106115010064933. The next prime is 106115010065123. The reversal of 106115010065010 is 10560010511601.

106115010065010 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 1 + 5 + 0 + 1 + 0 + 0 + 650 + 1 + 0 = 666.

It is a super-2 number, since 2×106115010065010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19495041 + ... + 24336939.

It is an arithmetic number, because the mean of its divisors is an integer number (2903607538650).

Almost surely, 2^{106115010065010} is an apocalyptic number.

106115010065010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106115010065010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139373161855200).

106115010065010 is an abundant number, since it is smaller than the sum of its proper divisors (172631313645390).

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

106115010065010 is a wasteful number, since it uses less digits than its factorization.

106115010065010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844424 (or 4844421 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 106115010065010 its reverse (10560010511601), we get a palindrome (116675020576611).

The spelling of 106115010065010 in words is "one hundred six trillion, one hundred fifteen billion, ten million, sixty-five thousand, ten".